NCERT Solutions For Class 7 Maths Chapter 6 The Triangle and its Properties Exercise 6.2

Table of Contents

Class 7, Maths, Chapter 6, Exercise 6.2 Solutions

Q.1. Find the value of the unknown exterior angle x in the following diagrams:

Ans:

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

∴ Exterior angle = Sum of interior opposite angles.

(i) x= 50°+70°=120°

(ii) x= 65°+ 45°=110°

(iii) x= 30° + 40° = 70°

(iv) x= 60°+60° =120°

(v) x= 50°+50° =100°

(vi) x= 60⁰ + 30⁰ = 90⁰

Q.2. Find the value of the unknown interior angle ‘x’ in the following figures:

Ans:

We know, that Exterior angle = Sum of interior opposite angles, therefore

(i) x + 50° =115°

⟹ x =115°- 50° = 65°

(ii) 70° + x = 100°

⟹ x =100°- 70° = 30°

(iii) x + 90° = 125°

⟹ x =125°- 90° = 35°

(iv) 60° + x = 120°

⟹ x =120°- 60° = 60°

(v) 30° + x = 80°

⟹ x = 80°- 30° = 50°

(vi) x + 35° = 75°

⟹ x =75°- 35° = 40°