{"id":21418,"date":"2019-05-21T12:07:52","date_gmt":"2019-05-21T06:37:52","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21418"},"modified":"2022-11-16T21:32:54","modified_gmt":"2022-11-16T16:02:54","slug":"if-three-straight-lines-intersect-at-a-point-as-shown-in-the-figure-above-what-is-the-value-of-x-ogqr-2020-question-215-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/if-three-straight-lines-intersect-at-a-point-as-shown-in-the-figure-above-what-is-the-value-of-x-ogqr-2020-question-215-with-solution\/","title":{"rendered":"If three straight lines intersect at a point as shown in the figure above, what is the value of\u00a0x? &#8211; OGQR 2020 Question #215 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span><div class='two_third'>\n\t\t\t\t\t<h2>OGQR 2020: Question No. 215<\/h2>\n<p><img class=\"aligncenter\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/OGQR_DS_215_1.png\"><\/p>\n<p>If three straight lines intersect at a point as shown in the figure above, what is the value of&nbsp;x?<\/p>\n<ol>\n<li>x&nbsp;=&nbsp;y&nbsp;=&nbsp;z<\/li>\n<li>z&nbsp;=&nbsp;60<\/li>\n<\/ol>\n\t\t\t\t<\/div>\n<div class='one_third et_column_last'>\n\t\t\t\t\t<table>\n<tbody>\n<tr>\n<td width=\"301\">Source<\/td>\n<td width=\"301\">OGQR 2020<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Type<\/td>\n<td width=\"301\">Data Sufficiency<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Topic<\/td>\n<td width=\"301\">Geometry<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Sub-Topic<\/td>\n<td width=\"301\">Lines and Angles<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Difficulty<\/td>\n<td width=\"301\">Easy<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t\t\t\t<\/div><div class='clear'><\/div>\n<h3>Solution<\/h3>\n<h4><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n<p>We are given:<\/p>\n<ul>\n<li>Three intersecting lines, as shown in the diagram.<\/li>\n<li>And, the angles between these 3 lines.<\/li>\n<\/ul>\n<p>We need to find:<\/p>\n<ul>\n<li>The value of x.<\/li>\n<\/ul>\n<p>Let us name all the three lines as L<sub>1<\/sub>, L<sub>2<\/sub>, and L<sub>3<\/sub> as shown:<\/p>\n<p><img class=\"aligncenter\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/OGQR_DS_215_2.png\"><\/p>\n<ul>\n<li>One angle between line L<sub>1<\/sub> and L<sub>2<\/sub> is x<sup>0<\/sup>.<\/li>\n<li>Similarly, one angle between line L<sub>2<\/sub> and L<sub>3<\/sub> is z<sup>0<\/sup>.<\/li>\n<li>And, one angle between line L<sub>1<\/sub> and L<sub>3<\/sub> is y<sup>0<\/sup>.\n<ul>\n<li>Hence, their vertically opposite angles will also be equal as shown in diagram below.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img class=\"aligncenter\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/OGQR_DS_215_3.png\"><\/p>\n<ul>\n<li>Therefore, by applying the property that sum of all the angles around a point is 360<sup>0<\/sup>, we can say that:\n<ul>\n<li>2x + 2y + 2z = 360<sup>0<\/sup><\/li>\n<li>Or, x + y + z = 180<sup>0<\/sup><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>To find value of x, we need the value of y and z.<\/p>\n<p>With this understanding, let us now analyse the individual statements.<\/p>\n<p>&nbsp;<\/p>\n<h4><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n<p><em>\u201cx&nbsp;=&nbsp;y&nbsp;=&nbsp;z\u201d<\/em><\/p>\n<ul>\n<li>x + x + x = 180<sup>0<\/sup>\n<ul>\n<li>3x = 180<sup>0<\/sup><\/li>\n<li>From this equation, we can find the value of x.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>Thus, statement 1 is sufficient to answer the question.<\/p>\n<p>&nbsp;<\/p>\n<h4><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n<p><em>\u201cz&nbsp;=&nbsp;60\u201d<\/em><\/p>\n<p>Since we do not know the value of y, we cannot find the value of x.<\/p>\n<p>Thus, statement 2 is not sufficient to answer the question.<\/p>\n<p>&nbsp;<\/p>\n<h4><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n<p>As we could determine the answer from statement 1 individually, this step is not required.<\/p>\n<p>Hence, the correct answer is option A.<\/p>\n\n\n<p>A high GMAT score can set you apart from the competition and help you get an admit at your dream business school. Start your GMAT Preparation with the <a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">most reviewed online GMAT prep company<\/a>. 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Let us name all the three lines as L1, L2, and L3 as shown: One angle between line L1 [&hellip;]<\/p>\n","protected":false},"author":79663,"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":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-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>If three straight lines intersect at a point as shown in the figure above, what is the value of\u00a0x? - OGQR 2020 Question #215 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\/if-three-straight-lines-intersect-at-a-point-as-shown-in-the-figure-above-what-is-the-value-of-x-ogqr-2020-question-215-with-solution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If three straight lines intersect at a point as shown in the figure above, what is the value of\u00a0x? - OGQR 2020 Question #215 with Solution\" \/>\n<meta property=\"og:description\" content=\"Solution Steps 1 &amp; 2: Understand Question and Draw Inferences We are given: Three intersecting lines, as shown in the diagram. 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