{"id":21371,"date":"2019-05-21T02:53:35","date_gmt":"2019-05-20T21:23:35","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21371"},"modified":"2022-11-17T11:15:22","modified_gmt":"2022-11-17T05:45:22","slug":"in-the-figure-above-lines-are-drawn-at-the-vertices-of-the-quadrilateral-as-shown-what-is-the-sum-of-the-degree-measures-of-the-marked-angles-ogqr-2020-question-92-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/in-the-figure-above-lines-are-drawn-at-the-vertices-of-the-quadrilateral-as-shown-what-is-the-sum-of-the-degree-measures-of-the-marked-angles-ogqr-2020-question-92-with-solution\/","title":{"rendered":"In the figure above, lines are drawn at the vertices of the quadrilateral as shown. What is the sum of the degree measures of the marked angles?  &#8211; OGQR 2020 Question #92 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">&lt; 1<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2 id=\"h-ogqr-2020-question-no-92\">OGQR 2020: Question No. 92<\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"242\" height=\"153\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/92.png\" alt=\"\" class=\"wp-image-21376\"\/><\/figure>\n\n\n\n<p>In the figure above, lines are drawn at the vertices of the quadrilateral as shown. What is the sum of the degree measures of the marked angles?<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Source<\/strong><\/td><td><strong>OGQR 2020<\/strong><\/td><\/tr><tr><td>Type<\/td><td>Problem Solving<\/td><\/tr><tr><td>Topic<\/td><td>Geometry<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Quadrilateral<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 id=\"h-given\"><strong><u>Given<\/u><\/strong><\/h4>\n\n\n\n<p>In this question, we are given<\/p>\n\n\n\n<ul><li>The figure of a quadrilateral, in which lines are drawn at the vertices of the quadrilateral.<\/li><\/ul>\n\n\n\n<h4 id=\"h-to-find\"><strong><u>To Find<\/u><\/strong><\/h4>\n\n\n\n<p>We need to determine<\/p>\n\n\n\n<ul><li>The sum of the degree measures of the marked angles.<\/li><\/ul>\n\n\n\n<h4 id=\"h-approach-working\"><strong><u>Approach &amp; Working<\/u><\/strong><\/h4>\n\n\n\n<p>We can say<\/p>\n\n\n\n<ul><li>The sum of the marked angles = Total angles on the 4 straight lines \u2013 Sum of the interior angles of the quadrilateral.<ul><li>Sum of interior angles of polygon of 4 sides = (4 &#8211; 2) *180<sup>0<\/sup> =360<sup>0<\/sup><\/li><\/ul><\/li><li>Hence, sum of the marked angles = 4 * 180\u00b0 &#8211; 360\u00b0 = 720\u00b0 &#8211; 360\u00b0 = 360\u00b0<\/li><\/ul>\n\n\n\n<p>Hence, the correct answer is option B.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don\u2019t you<a target=\"_blank\" href=\"https:\/\/e-gmat.com\/ft-gmat\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_term=blogs_in_article_lekhika\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">&nbsp;<strong>try out our FREE Trial?<\/strong><\/a>&nbsp;We are the<strong>&nbsp;<a target=\"_blank\" href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed online GMAT Preparation company in GMATClub<\/a><\/strong>&nbsp;with more than 2000 reviews as of January 2021.<\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-4a0af0bc-2df5-407f-872e-3898d26d670c\"><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 ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OGQR 2020: Question No. 92 In the figure above, lines are drawn at the vertices of the quadrilateral as shown. What is the sum of the degree measures of the marked angles? Source OGQR 2020 Type Problem Solving Topic Geometry Sub-Topic Quadrilateral Difficulty Medium Solution Given In this question, we are given The figure of [&hellip;]<\/p>\n","protected":false},"author":102413,"featured_media":0,"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":[104,44,94,60,100],"tags":[],"featured_image_src":null,"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>In the figure above, lines are drawn at the vertices of the quadrilateral as shown. What is the sum of the degree measures of the marked angles? - OGQR 2020 Question #92 with Solution<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/in-the-figure-above-lines-are-drawn-at-the-vertices-of-the-quadrilateral-as-shown-what-is-the-sum-of-the-degree-measures-of-the-marked-angles-ogqr-2020-question-92-with-solution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In the figure above, lines are drawn at the vertices of the quadrilateral as shown. What is the sum of the degree measures of the marked angles? - OGQR 2020 Question #92 with Solution\" \/>\n<meta property=\"og:description\" content=\"OGQR 2020: Question No. 92 In the figure above, lines are drawn at the vertices of the quadrilateral as shown. 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