{"id":8741,"date":"2021-12-29T18:06:33","date_gmt":"2021-12-29T12:36:33","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=8741"},"modified":"2025-05-28T16:18:25","modified_gmt":"2025-05-28T10:48:25","slug":"ncert-solutions-class-7-maths-the-triangle-and-its-properties-ex-6-2","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions-for-class-7-maths-chapter-6-the-triangle-and-its-properties-ex-6-2\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Exercise 6.2 Chapter 6 The Triangle and Its Properties"},"content":{"rendered":"<p><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-7\/maths\/\"><strong>NCERT Solutions for Class 7 Maths<\/strong> <\/a>Exercise 6.2 Chapter 6, &#8220;The Triangle and Its Properties,&#8221; are available in a simple PDF format. This exercise focuses solely on the exterior angle of a triangle and its properties. As the second exercise in the chapter, it helps students grasp key concepts about triangles and their properties. Practicing these <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\"><strong>NCERT Solutions<\/strong><\/a> will aid students in scoring well in Maths.<\/p>\n<h2>NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and Its Properties \u2013 Exercise 6.2<\/h2>\n<p><strong>Question 1. Find the value of the unknown exterior angle x in the following diagrams:<\/strong><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-73704 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-6-The-Triangle-and-its-Properties-Ex-6.2-1.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.2 1\" width=\"328\" height=\"432\" \/><br \/>\nSolution:<\/p>\n<p>(i) \u2220x = 50\u00b0 + 70\u00b0 = 120\u00b0 (Exterior angle is equal to sum of its interior opposite angles)<\/p>\n<p>(ii) \u2220x = 65\u00b0+ 45\u00b0 = 110\u00b0 (Exterior angle is equal to sum of its interior opposite angles)<\/p>\n<p>(iii) \u2220x = 30\u00b0 + 40\u00b0 = 70\u00b0 (Exterior angle is equal to sum of its interior opposite angles)<\/p>\n<p>(iv) \u2220x = 60\u00b0 + 60\u00b0 = 120\u00b0 (Exterior angle is equal to sum of its interior opposite angles)<\/p>\n<p>(v) \u2220x = 50\u00b0 + 50\u00b0 =100\u00b0 (Exterior angle is equal to sum of its interior opposite angles)<\/p>\n<p>(vi) \u2220x = 30\u00b0 + 60\u00b0 = 90\u00b0 (Exterior angle is equal to sum of its interior opposite angle)<\/p>\n<p><strong>Question 2. Find the value of the unknown interior angle x in the following figures:<\/strong><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-73705 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-6-The-Triangle-and-its-Properties-Ex-6.2-2.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.2 2\" width=\"320\" height=\"456\" \/><br \/>\n<strong>Solution:<\/strong><\/p>\n<p>(i) \u2220x + 50\u00b0 = 115\u00b0 (Exterior angle of a triangle)<\/p>\n<p>\u2234 \u2220x = 115\u00b0- 50\u00b0 = 65\u00b0<\/p>\n<p>(ii) \u2220x + 70\u00b0 = 110\u00b0 (Exterior angle of a triangle)<\/p>\n<p>\u2234 \u2220x = 110\u00b0 \u2013 70\u00b0 = 40\u00b0<\/p>\n<p>(iii) \u2220 x + 90\u00b0 = 125\u00b0 (Exterior angle of a right triangle)<\/p>\n<p>\u2234 \u2220x = 125\u00b0 \u2013 90\u00b0 = 35\u00b0<\/p>\n<p>(iv) \u2220x + 60\u00b0 = 120\u00b0 (Exterior angle of a triangle)<\/p>\n<p>\u2234 \u2220x = 120\u00b0 \u2013 60\u00b0 = 60\u00b0<\/p>\n<p>(v)\u2220 X + 30\u00b0 = 80\u00b0 (Exterior angle of a triangle)<\/p>\n<p>\u2234 \u2220x = 80\u00b0 \u2013 30\u00b0 = 50\u00b0<\/p>\n<p>(vi) \u2220 x + 35\u00b0 = 75\u00b0 (Exterior angle of a triangle)<\/p>\n<p>\u2234 \u2220 x = 75\u00b0 \u2013 35\u00b0 = 40\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 7 Maths Exercise 6.2 Chapter 6, &#8220;The Triangle and Its Properties,&#8221; are available in a simple [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"NCERT Solutions - 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