{"id":8656,"date":"2022-01-19T19:13:56","date_gmt":"2022-01-19T13:43:56","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=8656"},"modified":"2024-07-02T14:48:24","modified_gmt":"2024-07-02T09:18:24","slug":"ncert-solutions-class-7-maths-chapter-5-lines-and-angles-ex-5-2","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-7\/maths\/chapter-5-lines-and-angles-ex-5-2\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Exercise 5.2 Chapter 5 Lines and Angles"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-7\/maths\/chapter-5-lines-and-angles-ex-5-2\/#NCERT_Solutions_for_Class_7_Maths_Chapter_5_Lines_and_Angles_-_Exercise_52\" title=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles \u2013 Exercise 5.2\">NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles \u2013 Exercise 5.2<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-7\/maths\/chapter-5-lines-and-angles-ex-5-2\/#Access_NCERT_Solutions_for_Class_7_Chapter_5_-_Lines_and_Angles_Exercise_52\" title=\"Access NCERT Solutions for Class 7 Chapter 5 \u2013 Lines and Angles Exercise 5.2\">Access NCERT Solutions for Class 7 Chapter 5 \u2013 Lines and Angles Exercise 5.2<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Chapter_5_Lines_and_Angles_-_Exercise_52\"><\/span>NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles \u2013 Exercise 5.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Infinity Learn provides NCERT Solutions for Class 7 Maths, Exercise 5.2 from Chapter 5, Lines and Angles, in a simple PDF format. This exercise covers topics related to pairs of lines, including intersecting lines, transversals and the angles they form, transversals of parallel lines, and checking if lines are parallel.<\/p>\n<p>A transversal is a line that intersects two or more lines at different points. Two lines intersect when they share a common point. Students are encouraged to first attempt solving the questions in <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-7\/maths\/\"><strong>NCERT Solutions for Class 7 Maths<\/strong><\/a> Chapter 5, Lines and Angles, and then use these <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\"><strong>NCERT solutions<\/strong><\/a> to find the best approach to different problems.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Access_NCERT_Solutions_for_Class_7_Chapter_5_-_Lines_and_Angles_Exercise_52\"><\/span>Access NCERT Solutions for Class 7 Chapter 5 \u2013 Lines and Angles Exercise 5.2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong> Question 1. State the property that is used in each of the following statements?<\/strong><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-73679 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-1.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 1\" width=\"234\" height=\"169\" \/><br \/>\n(i) If a || b, then \u22201 = \u22205<\/p>\n<p>(ii) If \u22204 = \u22206, then a || b<\/p>\n<p>(iii) If \u22204 + \u22205 = 180\u00b0, then a || b<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(i) Given a || b<\/p>\n<p>\u2234 \u22201 = \u22205 (Pair of corresponding angles)<\/p>\n<p>(ii) Given: \u22204 = \u22206<\/p>\n<p>\u2234 a || b [If pair of alternate angles are equal, then the lines are parallel]\n<p>(iii) Given: \u22204 + \u22205 = 180\u00b0<\/p>\n<p>\u2234 a || b [If sum of interior angles is 180\u00b0, then the lines are parallel]\n<p><strong>Question 2. In the given figure, identify<\/strong><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-73680 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-2.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 2\" width=\"251\" height=\"191\" \/><br \/>\n(i) the pairs of corresponding angles.<\/p>\n<p>(ii) the pairs of alternate interior angles.<\/p>\n<p>(iii) the pairs of interior angles on the same side of the transversal.<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(i) The pair of corresponding angles are \u22201 and \u22205, \u22202 and \u22206, \u22204 and \u22208, \u22203 and \u22207.<\/p>\n<p>(ii) The pairs of alternate interior angles are \u22202 and \u22208, \u22203 and \u22205.<\/p>\n<p>(iii) The pairs of interior angles on the same side of the transversal are \u22202 and \u22205, \u22203 and \u22208.<\/p>\n<p>Question 3. In the given figure, p || q. Find the unknown angles.<\/p>\n<p>Solution: \u2220e + 125\u00b0 = 180\u00b0 (Linear pair)<br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-73681 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-3.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 3\" width=\"234\" height=\"188\" \/><br \/>\n\u2234 \u2220e = 180\u00b0 \u2013 125\u00b0 = 55\u00b0<\/p>\n<p>\u2220e = \u2220f (Vertically opposite angles)<\/p>\n<p>\u2234 \u2220f= 55\u00b0<\/p>\n<p>\u2220a = \u2220f= 55\u00b0 (Alternate interior angles)<\/p>\n<p>\u2220c = \u2220a = 55\u00b0 (Vertically opposite angles)<\/p>\n<p>\u2220d = 125\u00b0 (Corresponding angles)<\/p>\n<p>\u2220b = \u2220d = 125\u00b0 (Vertically opposite angles)<\/p>\n<p>Thus, \u2220a = 55\u00b0, \u2220b = 125\u00b0, \u2220c = 55\u00b0, \u2220d = 125\u00b0, \u2220e = 55\u00b0, \u2220f= 55\u00b0.<\/p>\n<p><strong>Question 4. Find the value of x in each of the following figures if l || m<\/strong><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-73682 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-4.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 4\" width=\"309\" height=\"170\" \/><br \/>\n<strong>Solution:<\/strong><\/p>\n<p>(i) Let the angle opposite to 110\u00b0 be y.<\/p>\n<p>\u2234 y = 110\u00b0 (Vertically opposite angles)<\/p>\n<p>\u2220x + \u2220y = 180\u00b0 (Sum of interior angle on the same side of transversal)<\/p>\n<p>\u2220x + 110\u00b0 = 180\u00b0 .<\/p>\n<p>\u2234 \u2220x = 180\u00b0 \u2013 110\u00b0 = 70\u00b0<\/p>\n<p>Thus x= 70\u00b0<\/p>\n<p>(ii) \u2220x = 110\u00b0 (Pair of corresponding angles)<\/p>\n<p><strong>Question 5. In the given figure, the arms of two angles are parallel. If \u2220ABC = 70\u00b0, then find<\/strong><\/p>\n<p>(i) \u2220DGC<\/p>\n<p>(ii) \u2220DEF<br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-73683 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-5.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 5\" width=\"217\" height=\"177\" \/><br \/>\n<strong>Solution:<\/strong> Given<\/p>\n<p>AB || DE<\/p>\n<p>BC || EF<\/p>\n<p>\u2220ABC = 70\u00b0<\/p>\n<p>\u2220DGC = \u2220ABC<\/p>\n<p>(i) \u2220DGC = 70\u00b0 (Pair of corresponding angles)<\/p>\n<p>\u2220DEF = \u2220DGC<\/p>\n<p>(ii) \u2220DEF = 70\u00b0 (Pair of corresponding angles)<\/p>\n<p><strong>Question 6. In the given figure below, decide whether l is parallel to m.<\/strong><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-73684 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-6.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 6\" width=\"269\" height=\"361\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-73685 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-7.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 7\" width=\"278\" height=\"169\" \/><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-73686 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-8.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 8\" width=\"248\" height=\"174\" \/><br \/>\n<strong>Solution:<\/strong> Sum of interior angles on the same side of transversal<\/p>\n<p>= 126\u00b0 + 44\u00b0 = 170\u00b0 \u2260 180\u00b0<\/p>\n<p>\u2234 l is not parallel to m.<\/p>\n<p>(ii) Let angle opposite to 75\u00b0 be x.<\/p>\n<p>x = 75\u00b0 [Vertically opposite angles]\n<p>\u2234 Sum of interior angles on the same side of transversal<\/p>\n<p>= x + 75\u00b0 = 75\u00b0 + 75\u00b0<\/p>\n<p>= 150\u00b0 \u2260 180\u00b0<\/p>\n<p>\u2234 l is not parallel to m.<\/p>\n<p>(iii) Let the angle opposite to 57\u00b0 be y.<\/p>\n<p>\u2234 \u2220y = 57\u00b0 (Vertically opposite angles)<\/p>\n<p>\u2234 Sum of interior angles on the same side of transversal<\/p>\n<p>= 57\u00b0 + 123\u00b0 = 180\u00b0<\/p>\n<p>\u2234 l is parallel to m.<\/p>\n<p>(iv) Let angle opposite to 72\u00b0 be z.<\/p>\n<p>\u2234 z = 70\u00b0 (Vertically opposite angle)<\/p>\n<p>Sum of interior angles on the same side of transversal<\/p>\n<p>= z + 98\u00b0 = 72\u00b0 + 98\u00b0<\/p>\n<p>= 170\u00b0 \u2260 180\u00b0<\/p>\n<p>\u2234 l is not parallel to m.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-107683 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-Q1.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Q1\" width=\"707\" height=\"627\" \/><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-107684 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-Q2.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Q2\" width=\"659\" height=\"673\" \/><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-107685 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-Q3.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Q3\" width=\"608\" height=\"663\" \/><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-107686 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-Q4.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Q4\" width=\"609\" height=\"692\" \/><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-107687 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-Q5.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Q5\" width=\"756\" height=\"638\" \/><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-107688 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-Q6.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Q6\" width=\"754\" height=\"545\" \/><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-107689 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-5-Lines-and-Angles-Ex-5.2-Q7.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Q7\" width=\"754\" height=\"295\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles \u2013 Exercise 5.2 Infinity Learn provides NCERT Solutions for [&hellip;]<\/p>\n","protected":false},"author":31,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"NCERT Solutions for Class 7 Maths","_yoast_wpseo_title":"NCERT Solutions for Class 7 Maths Ex-5.2 Chapter 5 Lines and Angles","_yoast_wpseo_metadesc":"NCERT Solutions for Class 7 Maths Exercise 5.2 Chapter 5 Lines and Angles cover intersecting lines, transversals, and parallel lines. This simple PDF helps students solve and understand these concepts effectively.","custom_permalink":"study-materials\/ncert-solutions\/class-7\/maths\/chapter-5-lines-and-angles-ex-5-2\/"},"categories":[13,19,87,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 7 Maths Ex-5.2 Chapter 5 Lines and Angles<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 7 Maths Exercise 5.2 Chapter 5 Lines and Angles cover intersecting lines, transversals, and parallel lines. 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