## MP Board Class 7th Maths Solutions Chapter 6 The Triangles and Its Properties Ex 6.2

Question 1.

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

Solution:

(i) x = 50° + 70° (Exterior angle property) = 120°

(ii) x = 65° + 45° (Exterior angle property)

= 110°

(iii) x = 40° + 30° (Exterior angle property)

= 70°

(iv) x = 60° + 60° (Exterior angle property)

= 120°

(v) x = 50° + 50° (Exterior angle property)

= 100°

(vi) x = 30° + 60° (Exterior angle property)

= 90°

Question 2.

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

Solution:

(i) x + 50° = 115°

(Exterior angle property)

⇒ x = 115° – 50° = 65°

(ii) 70° + x = 100° (Exterior angle property) ⇒ x = 100° – 70° = 30°

(iii) x + 90° = 125° (Exterior angle property) ⇒ x = 125° – 90° = 35°

(iv) x + 60° = 120° (Exterior angle property) ⇒ x = 120° – 60° = 60°

(v) x + 30° = 80° (Exterior angle property) ⇒ x = 80° – 30° = 50°

(vi) x + 35° = 75° (Exterior angle property) ⇒ x = 75° – 35° = 40°