These NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Ex 6.2 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 7 Maths Chapter 6 The Triangles and Its Properties Exercise 6.2

Question 1.

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

Answer:

(i) x = 50° + 70°

= 120°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(ii) x = 45° + 65°

= 110°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(iii) x = 30° + 40°

= 70°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(iv) x = 60° + 60°

= 120°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(v) x = 50° + 50°

= 100°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(vi) x = 30° + 60°

= 90°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

Question 2.

Find the value of the unknown interior angle x in the following figures:

Answer:

(i) x + 50°= 115°

x = 115° – 50°

= 65°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(ii) x + 70° = 100°

x = 100° – 70°

= 30°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(iii) x + 90° = 125°

x = 125° – 90°

= 35°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(iv) x + 60° = 120°

x = 120° – 60°

= 60°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(v) x + 30° = 80°

x = 80° – 30°

= 50°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)

(vi) x + 35° = 75°

x = 75° – 35°

= 40°

(The exterior angle of a triangle is equal to the sum of its two interior opposite angles)