{"id":23161,"date":"2023-06-05T05:03:00","date_gmt":"2023-06-04T23:33:00","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=23161"},"modified":"2026-01-24T10:07:55","modified_gmt":"2026-01-24T04:37:55","slug":"lines-and-angles","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/","title":{"rendered":"Lines and Angles &#8211; Definitions, Properties, Types, Practice Questions"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">8<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<p>Ancient mathematicians introduced the concept of lines to represent straight objects which had negligible width and depth. Considered as a breadth less length by Euclid, lines form the basis of Euclidean geometry.<\/p>\n\n\n\n<p>When two rays (part of a straight line) intersect each other in the same plane, they form an angle. The point of intersection is called a vertex.<\/p>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-a38cb6f3-9e91-4adc-b22e-012c1dd25571\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-small ub-button-flex-small\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"25\", width=\"25\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Start Free GMAT Preparation<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<p>In this article, we go over the basic properties, definitions, and types of lines and angles related to geometry. We&#8217;ll also look at a few examples for you to understand the properties of lines and angles in a better manner. Before we move forward, take a look at the five-step GMAT Preparation plan to score 700+ on the GMAT:<\/p>\n\n\n\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/7T9zeh-8XrY?rel=0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer rel=0; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"\"><\/iframe>\n\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-4679312d-ae2d-4b19-a4ac-2e85260d5334\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-header-container\"><div class=\"ub_table-of-contents-header\">\n                    <div class=\"ub_table-of-contents-title\"> Following is a brief outline of the topics that we will cover in this article <\/div><div class=\"ub_table-of-contents-header-toggle\">\n                        <div class=\"ub_table-of-contents-toggle\">\n                        &nbsp;[<a class=\"ub_table-of-contents-toggle-link\" href=\"#\">hide<\/a>]<\/div><\/div><\/div><\/div><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#0-definition-of-line\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Definition of Line<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#1-definition-of-a-line-segment\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Definition of a Line Segment<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#2-types-of-lines\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Types of lines<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#6-angle-what-is-it\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Angle &#8211; What is it?<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#7-measurement-of-an-angle\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Measurement of an Angle<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#12-angles-formed-between-two-intersecting-lines\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Angles formed between two intersecting lines<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#15-other-types-of-angles-\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Other types of Angles<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#20-properties-of-angles\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Properties of Angles<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#23-youve-got-the-concepts-now-get-your-personalized-plan\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">You&#8217;ve got the concepts. Now get your personalized plan.<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#24-application-of-lines-and-angles-properties-in-questions\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Application of Lines and Angles Properties in Questions<\/a><ul><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#25-lines-and-angles-question-1\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Lines and Angles &#8211; Question 1<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/lines-and-angles\/#27-lines-and-angles-question-2\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Lines and Angles &#8211; Question 2<\/a><\/li><\/ul><\/li><\/ul><\/div><\/div><\/div>\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.&nbsp;Write to us at&nbsp;acethegmat@e-gmat.com. We are the&nbsp;most reviewed GMAT prep company on GMAT club&nbsp;with more than <a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">2500+ reviews<\/a>&nbsp;and are the only prep company that has <a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">delivered&nbsp;more than 700+ scores<\/a> than any other GMAT club partner.&nbsp;Why don\u2019t you take a <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">free trial<\/a> and judge for yourself?<\/strong><\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-44350496-38ec-4cc4-8233-371acf1ca16c\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Get free resources<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<h2 id=\"0-definition-of-line\">Definition of Line<\/h2>\n\n\n\n<p>A line does not have any endpoints. It has an infinite length.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"437\" height=\"143\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Definition-of-a-line-segment-GMAT-quant-e-GMAT.png\" alt=\"Definition of a line segment GMAT quant e-GMAT\" class=\"wp-image-23162\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Definition-of-a-line-segment-GMAT-quant-e-GMAT.png 437w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Definition-of-a-line-segment-GMAT-quant-e-GMAT-300x98.png 300w\" sizes=\"(max-width: 437px) 100vw, 437px\" \/><\/figure>\n\n\n\n<h2 id=\"1-definition-of-a-line-segment\">Definition of a Line Segment<\/h2>\n\n\n\n<p>A line segment is a segment of a line, or in other words, we can say that a line segment is a line with two endpoints.<\/p>\n\n\n\n<p><strong>For example<\/strong>,&nbsp;The diagram shows a line L and one segment of this line is AB.<\/p>\n\n\n\n<p>In a plane, there can be many lines or line segments.<\/p>\n\n\n\n<p>And, these lines can be divided into a few types based on the relative positioning of a line with another line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"324\" height=\"254\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Intersecting-lines-GMAT-quant-e-GMAT.png\" alt=\"Intersecting lines GMAT quant e-GMAT\" class=\"wp-image-23163\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Intersecting-lines-GMAT-quant-e-GMAT.png 324w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Intersecting-lines-GMAT-quant-e-GMAT-300x235.png 300w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/><\/figure>\n\n\n\n<h2 id=\"2-types-of-lines\">Types of lines<\/h2>\n\n\n\n<h3 id=\"3-intersecting-lines\">Intersecting Lines<\/h3>\n\n\n\n<p>Two lines are intersecting lines if they meet each other at a common point.<\/p>\n\n\n\n<p>For example, L<sub>1<\/sub> and L<sub>2 <\/sub>are intersecting lines in the below diagram<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"324\" height=\"254\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Intersecting-lines-GMAT-quant-e-GMAT.png\" alt=\"Intersecting lines GMAT quant e-GMAT\" class=\"wp-image-23163\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Intersecting-lines-GMAT-quant-e-GMAT.png 324w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Intersecting-lines-GMAT-quant-e-GMAT-300x235.png 300w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/><\/figure>\n\n\n\n<h3 id=\"4-parallel-lines\">Parallel Lines<\/h3>\n\n\n\n<p>A pair of lines are parallel if they never intersect.<\/p>\n\n\n\n<p>For example, L<sub>1<\/sub>, L<sub>2<\/sub>, and L<sub>3<\/sub> are parallel lines in the below diagram.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"372\" height=\"159\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/parallel-line-GMAT-quant-e-GMAT.png\" alt=\"parallel line GMAT quant e-GMAT\" class=\"wp-image-23164\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/parallel-line-GMAT-quant-e-GMAT.png 372w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/parallel-line-GMAT-quant-e-GMAT-300x128.png 300w\" sizes=\"(max-width: 372px) 100vw, 372px\" \/><\/figure>\n\n\n\n<h3 id=\"5-transversal-line\">Transversal Line<\/h3>\n\n\n\n<p>A transversal line cuts two or more lines at distinct points.<\/p>\n\n\n\n<p>For example, Line L<sub>3<\/sub> is the transversal line in the below diagram.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"376\" height=\"214\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Transversal-line-GMAT-quant-e-GMAT.png\" alt=\"Transversal line GMAT quant e-GMAT\" class=\"wp-image-23165\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Transversal-line-GMAT-quant-e-GMAT.png 376w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Transversal-line-GMAT-quant-e-GMAT-300x171.png 300w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><\/figure>\n\n\n\n<p>Next, we take a look at angles and their properties.<\/p>\n\n\n\n<p>Scoring a Q50-51 on the GMAT helps you get a 700+ GMAT score.  Start your journey of getting a Q50-51 on the GMAT with e-GMAT&#8217;s AI-driven online preparation course. Our xPERT not only curates the most optimized learning path but also tracks your improvement, ensuring that you get to your target Quant score quickly and reliably. Watch this video to know more: <\/p>\n\n\n\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/Hx5TgTucO8U?rel=0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer rel=0; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"\"><\/iframe>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>Are you struggling with GMAT quant? e-GMAT provides structured learning from foundations to help you master the skills needed for a high score. Join the world&#8217;s most successful prep company for a <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">free trial<\/a> and see the difference it can make. We are the <\/strong><a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\"><strong>most reviewed online GMAT Prep company<\/strong><\/a><strong> with 2500+ reviews on GMATClub, as of March 2023.<\/strong><\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-f3327a0d-a7d6-45c5-a895-810757bb43a0\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Get free resources<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<h2 id=\"6-angle-what-is-it\">Angle &#8211; What is it?<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"334\" height=\"238\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Angle-GMAT-quant-e-GMAT.png\" alt=\"Angle GMAT quant e-GMAT\" class=\"wp-image-23166\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Angle-GMAT-quant-e-GMAT.png 334w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Angle-GMAT-quant-e-GMAT-300x214.png 300w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><\/figure>\n\n\n\n<p>An angle is formed when two lines intersect each other. We represent an angle by the symbol \u2220.<\/p>\n\n\n\n<p>An angle involves two legs and one common vertex at which two lines meet.<\/p>\n\n\n\n<p>For example, \u2220AOD is formed when lines AB and CD intersect with each other.<\/p>\n\n\n\n<p>Also, \u2220AOD is formed between the leg AO and OD, so we include A, O, and D while naming the angle.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><em>Do you know that the position of leg points does not matter as long as the common vertex is the middle letter in the angle name<\/em><\/p><\/blockquote>\n\n\n\n<h2 id=\"7-measurement-of-an-angle\">Measurement of an Angle<\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"562\" height=\"517\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Measurement-of-an-angle-GMAT-quant-e-GMAT.png\" alt=\"Measurement of an angle GMAT quant e-GMAT\" class=\"wp-image-23195\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Measurement-of-an-angle-GMAT-quant-e-GMAT.png 562w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Measurement-of-an-angle-GMAT-quant-e-GMAT-300x276.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/figure>\n\n\n\n<p>The angle is measured in degrees.<\/p>\n\n\n\n<p>An angle can measure from zero (0) degrees to 360 degrees. Based on the measurement of an angle, they are divided into four types:<\/p>\n\n\n\n<ol><li>Acute angle<\/li><li>Right angle<\/li><li>Obtuse angle <\/li><li>Reflex angle<\/li><\/ol>\n\n\n\n<h3 id=\"8-acute-angle\">Acute Angle<\/h3>\n\n\n\n<p>When the measurement of the angle is between 0 degrees and 90 degrees.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"300\" height=\"180\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Acute-angle-GMAT-quant-e-GMAT.png\" alt=\"Acute angle GMAT quant e-GMAT\" class=\"wp-image-23168\"\/><\/figure>\n\n\n\n<h3 id=\"9-right-angle\">Right Angle<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"288\" height=\"207\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Right-angle-GMAT-quant-e-GMAT.png\" alt=\"Right angle GMAT quant e-GMAT\" class=\"wp-image-23169\"\/><\/figure>\n\n\n\n<p>When the measurement of the angle is exactly 90 degree.<\/p>\n\n\n\n<ul><li><em><u>If there is a right angle between two lines, then the two lines are said to be perpendicular to each other<\/u><\/em>.<\/li><\/ul>\n\n\n\n<h3 id=\"10-obtuse-angle\">Obtuse Angle<\/h3>\n\n\n\n<p>When the measurement of the angle is between 90 degrees and 180 degrees.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"323\" height=\"219\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Obtuse-angle-GMAT-quant-e-GMAT.png\" alt=\"Obtuse angle GMAT quant e-GMAT\" class=\"wp-image-23170\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Obtuse-angle-GMAT-quant-e-GMAT.png 323w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Obtuse-angle-GMAT-quant-e-GMAT-300x203.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><em>A straight line has an angle of 180 degrees.<\/em><\/p><\/blockquote>\n\n\n\n<h3 id=\"11-reflex-angle\">Reflex Angle<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"390\" height=\"247\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Reflex-angle-GMAT-quant-e-GMAT.png\" alt=\"Reflex angle GMAT quant e-GMAT\" class=\"wp-image-23171\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Reflex-angle-GMAT-quant-e-GMAT.png 390w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Reflex-angle-GMAT-quant-e-GMAT-300x190.png 300w\" sizes=\"(max-width: 390px) 100vw, 390px\" \/><\/figure>\n\n\n\n<p>When the measurement of the angle is between 180 degrees and 360 degrees.<\/p>\n\n\n\n<p>We have discussed the basic type of angles.<\/p>\n\n\n\n<p>Let us now discuss the angles formed when two lines intersect each other.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong><em>If you are planning to take the GMAT, we can give you access to quality online content to prepare. We are the&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a> with more than 2500+ reviews, as of March 2023. <\/em><\/strong><\/p><p><strong><em>&nbsp;<\/em><\/strong><\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-ab38a039-6a29-4f51-b515-3d7af87a276b\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/e-gmat.com\/ft-gmat-prep\/?channel=blogsin_article&#038;utm_source=blogs&#038;utm_medium=in_article&#038;utm_campaign=free_trial&#038;utm_term=blogs_in_article\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Get free prep resources<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/e-gmat.com\/sigma-x\/?channel=blogsin_article&#038;utm_source=blogs&#038;utm_medium=in_article&#038;utm_campaign=free_trial&#038;utm_term=blogs_in_article\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<h2 id=\"12-angles-formed-between-two-intersecting-lines\">Angles formed between two intersecting lines<\/h2>\n\n\n\n<h3 id=\"13-vertically-opposite-angles\">Vertically Opposite Angles<\/h3>\n\n\n\n<p>When two lines intersect each other, then 4 angles are formed.<\/p>\n\n\n\n<ul><li>And, the <em><u>angles that are opposite to each other at the intersection point<\/u><\/em> are known as <strong>vertically opposite angles<\/strong>.<\/li><li>Vertically opposite angles are always equal.<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"452\" height=\"238\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Vertically-opposite-angle-GMAT-quant-e-GMAT.png\" alt=\"Vertically opposite angle GMAT quant e-GMAT\" class=\"wp-image-23172\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Vertically-opposite-angle-GMAT-quant-e-GMAT.png 452w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Vertically-opposite-angle-GMAT-quant-e-GMAT-300x158.png 300w\" sizes=\"(max-width: 452px) 100vw, 452px\" \/><\/figure>\n\n\n\n<p>Let us now discuss the angles formed when two lines are intersected by a third line i.e. a transversal line.<\/p>\n\n\n\n<h3 id=\"14-angles-formed-by-a-transversal-line\">Angles formed by a transversal line<\/h3>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"863\" height=\"482\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/angles-formed-by-a-transversal-line-GMAT-quant-preparation-e-GMAT.png\" alt=\"Angles formed by a transversal line GMAT quant preparation e-GMAT\" class=\"wp-image-23196\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/angles-formed-by-a-transversal-line-GMAT-quant-preparation-e-GMAT.png 863w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/angles-formed-by-a-transversal-line-GMAT-quant-preparation-e-GMAT-300x168.png 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/angles-formed-by-a-transversal-line-GMAT-quant-preparation-e-GMAT-768x429.png 768w\" sizes=\"(max-width: 863px) 100vw, 863px\" \/><\/figure>\n\n\n\n<p>When a transversal line intersects two lines, then eight angles are formed as shown.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"362\" height=\"223\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/angles-formed-by-a-transversal-line-GMAT-quant-e-GMAT.png\" alt=\"angles formed by a transversal line GMAT quant e-GMAT\" class=\"wp-image-23173\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/angles-formed-by-a-transversal-line-GMAT-quant-e-GMAT.png 362w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/angles-formed-by-a-transversal-line-GMAT-quant-e-GMAT-300x185.png 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><\/figure>\n\n\n\n<p>Now, there are several special pairs of angles that are obtained from this diagram.<\/p>\n\n\n\n<p>For example: If you notice&nbsp; (\u22201, \u22203), (\u22202, \u22204), (\u22205, \u22207), and (\u22206, \u22208) are all vertically opposite angles.<\/p>\n\n\n\n<p>Similarly, we get several other types of angles. Let us discuss them.<\/p>\n\n\n\n<h2 id=\"15-other-types-of-angles-\">Other types of Angles <\/h2>\n\n\n\n<h3 id=\"16-interior-and-exterior-angles\">Interior and Exterior Angles<\/h3>\n\n\n\n<p>Interior angles are the ones that are present inside the region between two lines.<\/p>\n\n\n\n<ul><li>And, exterior angles are the ones that are <strong><u>not<\/u><\/strong> present inside this region.<\/li><\/ul>\n\n\n\n<p>For example:<\/p>\n\n\n\n<ul><li>\u22202, \u22203, \u22205, and \u22208 are interior angles.<\/li><li>And, \u22201, \u22204, \u22206, and \u22207 are exterior angles.<\/li><\/ul>\n\n\n\n<h3 id=\"17-corresponding-angles\">Corresponding Angles<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"493\" height=\"232\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Corresponding-angles-GMAT-quant-e-GMAT.png\" alt=\"Corresponding angles GMAT quant e-GMAT\" class=\"wp-image-23174\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Corresponding-angles-GMAT-quant-e-GMAT.png 493w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Corresponding-angles-GMAT-quant-e-GMAT-300x141.png 300w\" sizes=\"(max-width: 493px) 100vw, 493px\" \/><\/figure>\n\n\n\n<p>Two angles are said to be corresponding angles if they lie on the same side of the transversal line such that:<\/p>\n\n\n\n<ul><li>One angle is an interior angle, and<\/li><li>Another is an exterior angle<\/li><\/ul>\n\n\n\n<p>For example:<\/p>\n\n\n\n<p>(\u22204, \u22208), (\u22203, \u22207), (\u22201, \u22205), and (\u22202, \u22206) are 4 pairs of corresponding angles<\/p>\n\n\n\n<h3 id=\"18-alternate-interior-angles\">Alternate interior angles<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"535\" height=\"239\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Alternate-interior-angles-GMAT-quant-e-GMAT.png\" alt=\"Alternate interior angles GMAT quant e-GMAT\" class=\"wp-image-23175\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Alternate-interior-angles-GMAT-quant-e-GMAT.png 535w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Alternate-interior-angles-GMAT-quant-e-GMAT-300x134.png 300w\" sizes=\"(max-width: 535px) 100vw, 535px\" \/><\/figure>\n\n\n\n<p>Two interior angles, present on the opposite side of a transversal line, are called alternate interior angles.<\/p>\n\n\n\n<p>For example:<\/p>\n\n\n\n<ul><li>(\u22202, \u22208) and (\u22203, \u22205) are alternate interior angles.<\/li><\/ul>\n\n\n\n<h3 id=\"19-alternate-exterior-angles\">Alternate exterior angles<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"541\" height=\"239\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Alternate-exterior-angles-GMAT-quant-e-GMAT.png\" alt=\"Alternate exterior angles GMAT quant e-GMAT\" class=\"wp-image-23176\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Alternate-exterior-angles-GMAT-quant-e-GMAT.png 541w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Alternate-exterior-angles-GMAT-quant-e-GMAT-300x133.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/figure>\n\n\n\n<p>Two exterior angles that are present on the opposite side of the transversal line are called alternate exterior angles.<\/p>\n\n\n\n<p>For example:<\/p>\n\n\n\n<ul><li>(\u22201, \u22207) and (\u22204, \u22206) are alternate exterior angles.<\/li><\/ul>\n\n\n\n<p><strong>Note:&nbsp;<\/strong>If a transversal line intersects two parallel lines, then the corresponding angles, alternate interior angles, and alternate exterior angles are equal.<\/p>\n\n\n\n<p>So, we have discussed all the type of angles.<\/p>\n\n\n\n<p>Let us now learn about a few properties of angles.<\/p>\n\n\n\n<h2 id=\"20-properties-of-angles\">Properties of Angles<\/h2>\n\n\n\n<h3 id=\"21-sum-of-angles-on-one-side-of-a-straight-line\">Sum of angles on one side of a straight line<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"493\" height=\"200\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Sum-of-angles-on-one-side-of-a-straight-line-GMAT-quant-e-GMAT.png\" alt=\"Sum of angles on one side of a straight line GMAT quant e-GMAT\" class=\"wp-image-23177\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Sum-of-angles-on-one-side-of-a-straight-line-GMAT-quant-e-GMAT.png 493w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Sum-of-angles-on-one-side-of-a-straight-line-GMAT-quant-e-GMAT-300x122.png 300w\" sizes=\"(max-width: 493px) 100vw, 493px\" \/><\/figure>\n\n\n\n<p>The sum of all the angles on one side of a straight line is always 180 degrees.<\/p>\n\n\n\n<p>For example, The sum of \u22201, \u22202, and \u22203 is 180 degrees.<\/p>\n\n\n\n<h3 id=\"22-sum-of-angles-around-a-point\">Sum of angles around a point<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"473\" height=\"253\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Sum-of-angles-around-a-point-GMAT-quant-e-GMAT.png\" alt=\"Sum of angles around a point GMAT quant e-GMAT\" class=\"wp-image-23178\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Sum-of-angles-around-a-point-GMAT-quant-e-GMAT.png 473w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Sum-of-angles-around-a-point-GMAT-quant-e-GMAT-300x160.png 300w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>Take a free <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">GMAT mock<\/a> to understand your baseline score and start your GMAT prep with our <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">free trial<\/a>. We are the&nbsp;most reviewed online GMAT Prep company&nbsp;with 2500+ reviews on GMATClub<\/strong><\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-525cff92-3356-491a-88b7-826d9e06315a\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Get free prep resources<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<p>The sum of all the angles around a point is always 360 degrees.<\/p>\n\n\n\n<p>For example, Sum of angles (\u22201, \u22202, and \u22203) around point O is 360 degrees.<\/p>\n\n\n\n<p>If you liked this article, here are a few more articles that you may like:<\/p>\n\n\n\n<ul><li><a href=\"https:\/\/e-gmat.com\/blogs\/quadrilateral-properties-formulas-rectangle-square-parallelogram-rhombus-trapezium-trapezoid\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Properties of Quadrilateral<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/circle-properties-circle-formulas-circle-area-circle-circumference\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Properties of a Circle<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/properties-of-triangles-definition-types-classification\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">Properties of Triangles<\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/gmat-geometry-formulas-concepts-on-triangles-part-1\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">GMAT Geometry Formulas and Concepts on Triangles<\/a><\/li><\/ul>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-feec3f4c-0875-4f5e-b3f3-c23054626433\">\n\n\n<h2 class=\"has-text-align-center has-black-color has-text-color\" id=\"23-youve-got-the-concepts-now-get-your-personalized-plan\">You&#8217;ve got the concepts. Now get your personalized plan.<\/h2>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color\">Understanding lines and angles is just one piece of GMAT Quant. 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12px;\n    }\n    \n    .egmat-cta-glow {\n      width: 200px;\n      height: 200px;\n      top: -50px;\n      right: -50px;\n    }\n  }\n<\/style>\n\n<div class=\"egmat-cta-wrapper\">\n  <div class=\"egmat-cta-card\">\n    \n    <!-- Subtle background pattern -->\n    <div class=\"egmat-cta-pattern\"><\/div>\n    \n    <!-- Decorative glow -->\n    <div class=\"egmat-cta-glow\"><\/div>\n    \n    <!-- Content -->\n    <div class=\"egmat-cta-content\">\n      \n      <!-- Top badge -->\n      <div>\n        <span class=\"egmat-cta-badge\">\n          <span class=\"egmat-cta-badge-dot\"><\/span>\n          5-Minute Personalized Assessment\n        <\/span>\n      <\/div>\n      \n      <!-- Main Headline -->\n      <h2 class=\"egmat-cta-headline\">\n        How Long Do You Need<br>\n        <span class=\"egmat-cta-headline-accent\">to Score 705?<\/span>\n      <\/h2>\n      \n      <!-- Value Bullets -->\n      <div class=\"egmat-cta-bullets\">\n        \n        <!-- Bullet 1 -->\n     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    <\/svg>\n          <\/div>\n          <div>\n            <p class=\"egmat-cta-bullet-title\">Know which section to prioritize<\/p>\n            <p class=\"egmat-cta-bullet-desc\">Quant, Verbal, or DI \u2014 see where to focus first<\/p>\n          <\/div>\n        <\/div>\n        \n        <!-- Bullet 3 -->\n        <div class=\"egmat-cta-bullet\">\n          <div class=\"egmat-cta-icon-box\">\n            <svg width=\"18\" height=\"18\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"#fb923c\" stroke-width=\"2.5\" stroke-linecap=\"round\">\n              <path d=\"M18 20V10M12 20V4M6 20v-6\"\/>\n            <\/svg>\n          <\/div>\n          <div>\n            <p class=\"egmat-cta-bullet-title\">Define your target percentiles<\/p>\n            <p class=\"egmat-cta-bullet-desc\">Clear metrics for each section to hit your goal<\/p>\n          <\/div>\n        <\/div>\n        \n      <\/div>\n      \n      <!-- CTA Button -->\n      <div>\n        <a href=\"https:\/\/onboarding.e-gmat.com\/gmat-strategy-builder-fullpage?utm_source=blogs\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"egmat-cta-button\" style=\"color: #ffffff !important;\" data-wpel-link=\"external\">\n          Build My Personalized Plan \u2192\n        <\/a>\n        <p class=\"egmat-cta-footer\">Free \u2022 No sign-up required \u2022 Takes 2 minutes<\/p>\n      <\/div>\n      \n    <\/div>\n  <\/div>\n<\/div>\n\n\n\n<h2 id=\"24-application-of-lines-and-angles-properties-in-questions\">Application of Lines and Angles Properties in Questions<\/h2>\n\n\n\n<h3 id=\"25-lines-and-angles-question-1\">Lines and Angles &#8211; Question 1<\/h3>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"328\" height=\"242\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Question-1-GMAT-quant-e-GMAT.png\" alt=\"Question 1 GMAT quant e-GMAT\" class=\"wp-image-23180\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Question-1-GMAT-quant-e-GMAT.png 328w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Question-1-GMAT-quant-e-GMAT-300x221.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><\/figure>\n\n\n\n<p>In the diagram given above, the line CD is parallel to line EF. If \u2220AHD and \u2220JIE are 118\u00b0 and 30\u00b0 respectively, then what is the measure of angle GIB?<\/p>\n\n\n\n<ol><li>30<\/li><li>32<\/li><li>34<\/li><li>40<\/li><li>62<\/li><\/ol>\n\n\n\n<h4 id=\"26-solution\">Solution<\/h4>\n\n\n\n<p><strong>Step 1: Given<\/strong><\/p>\n\n\n\n<ul><li>line CD is parallel to line EF.<\/li><li>\u2220AHD =118\u00b0<\/li><li>\u2220JIE = 30\u00b0<\/li><\/ul>\n\n\n\n<p><strong>Step 2: To find<\/strong><\/p>\n\n\n\n<ul><li>Measure of angle \u2220GIB<\/li><\/ul>\n\n\n\n<p><strong>Step 3: Approach and Working out<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"325\" height=\"224\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Question-1-solution-GMAT-quant-e-GMAT.png\" alt=\"Question 1 solution GMAT quant e-GMAT\" class=\"wp-image-23181\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Question-1-solution-GMAT-quant-e-GMAT.png 325w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Question-1-solution-GMAT-quant-e-GMAT-300x207.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><\/figure>\n\n\n\n<p>We need to find the measure of angle GIB.<\/p>\n\n\n\n<ul><li>So, with the given information, we know that line CD is parallel to line EF and line AB is transversal to them.<ul><li>Hence, \u2220DHI = \u2220FIB as both are corresponding angles.<ul><li>We can find \u2220DHI or \u2220FIB as<ul><li>\u2220AHD + \u2220DHI = 180\u00b0<\/li><li>118\u00b0+ \u2220FIB = 180\u00b0<\/li><li>\u2220FIB = 62\u00b0<\/li><\/ul><\/li><li>Now, \u2220FIB = \u2220FIG + \u2220GIB<ul><li>By observing the diagram, \u2220FIG = \u2220JIE as these are vertically opposite angles between EF and JG.<\/li><li>\u2220FIB = \u2220FIG + \u2220GIB<\/li><li>62\u00b0&nbsp;= \u2220JIE + \u2220GIB<\/li><li>62\u00b0&nbsp;= 30\u00b0&nbsp;+ \u2220GIB<\/li><li>\u2220GIB = 32\u00b0<\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul>\n\n\n\n<p>Hence, the correct answer is option B.<\/p>\n\n\n\n<h3 id=\"27-lines-and-angles-question-2\">Lines and Angles &#8211; Question 2<\/h3>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"323\" height=\"263\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Question-2-GMAT-quant-e-GMAT.png\" alt=\"Question 2 GMAT quant e-GMAT\" class=\"wp-image-23182\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Question-2-GMAT-quant-e-GMAT.png 323w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Question-2-GMAT-quant-e-GMAT-300x244.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><\/figure>\n\n\n\n<p>In the diagram given above, angle DFE and angle BFC are represented by X and Y respectively. If \u2220AFC = 100\u00b0 and \u2220BFE = 45\u00b0then what is the value of Y-X?<\/p>\n\n\n\n<ol><li>20<\/li><li>25<\/li><li>30<\/li><li>35<\/li><li>40<\/li><\/ol>\n\n\n\n<h4 id=\"28-solution\">Solution<\/h4>\n\n\n\n<p><strong>Step 1: Given<\/strong><\/p>\n\n\n\n<ul><li>\u2220DFE = X<\/li><li>\u2220BFC = Y<\/li><li>\u2220AFC = 100\u00b0<\/li><li>\u2220BFE = 45\u00b0<\/li><\/ul>\n\n\n\n<p><strong>Step 2: To find<\/strong><\/p>\n\n\n\n<ul><li>The value of Y-X<\/li><\/ul>\n\n\n\n<p><strong>Step 3: Approach and Working out<\/strong><\/p>\n\n\n\n<p>To find Y-X, we need to find Y and X first.<\/p>\n\n\n\n<p><em><u>Measure of angle Y:<\/u><\/em><\/p>\n\n\n\n<ul><li>We are given \u2220AFC = 100\u00b0&nbsp;and,<ul><li>\u2220AFC + \u2220BFC = 180\u00b0&nbsp;as the sum of angles on the same side straight line is 180\u00b0<\/li><li>100\u00b0&nbsp;+ \u2220BFC = 180\u00b0<ul><li>\u2220BFC = Y = 80\u00b0<\/li><\/ul><\/li><\/ul><\/li><\/ul>\n\n\n\n<p><em><u>Measure of angle X:<\/u><\/em><\/p>\n\n\n\n<ul><li>We are given \u2220BFE = 45\u00b0&nbsp;and,<ul><li>\u2220DFE + \u2220BFE + \u2220BFC = 180\u00b0&nbsp;as the sum of angles on the same side straight line is 180\u00b0.<\/li><li>X + 45\u00b0&nbsp;+80\u00b0= 180\u00b0<ul><li>X = 55\u00b0<\/li><\/ul><\/li><\/ul><\/li><\/ul>\n\n\n\n<p>Hence, Y \u2013 X = 80\u00b0&nbsp;\u2013 55\u00b0&nbsp;=25\u00b0.<\/p>\n\n\n\n<p>Thus, the correct answer is option B.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong><em>If you are planning to take the GMAT, we can give you access to quality online content to prepare. We are the&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a> with more than 2500+ reviews, as of March 2023. <\/em><\/strong><\/p><p><strong><em>&nbsp;<\/em><\/strong><\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-50d86797-56af-4b45-ba8d-06fd8628c0ae\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Get free prep resources<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Ancient mathematicians introduced the concept of lines to represent straight objects which had negligible width and depth. Considered as a breadth less length by Euclid, lines form the basis of Euclidean geometry. When two rays (part of a straight line) intersect each other in the same plane, they form an angle. The point of intersection [&hellip;]<\/p>\n","protected":false},"author":102413,"featured_media":23199,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[104,94,60],"tags":[],"featured_image_src":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Line-and-angles-GMAT-quant-preparation-e-GMAT.png","author_info":{"display_name":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Lines and Angles - Definitions, Properties, Types, Practice Questions<\/title>\n<meta name=\"description\" content=\"Here are some definitions, properties, types of lines and angles related to geometry. 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