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

**Solution:**

We know that the sum of the interior opposite angles is equal to the exterior angle.

By using this fact, we can find the unknown interior angle.

(i) Exterior angle is 115°

Exterior angle = sum of interior opposite angles

115° = 𝑥 + 50°

115° − 50° = 𝑥

𝑥 = 65°

(ii) Exterior angle is 100°

Exterior angle = sum of interior opposite angles

100° = 𝑥 + 70°

𝑥 = 100° − 70°

𝑥 = 30°

(iii) Exterior angle is 125°

Exterior angle = sum of interior opposite angles

125° = 𝑥 + 90°

𝑥 = 125° − 90°

𝑥 = 35°

(iv) Exterior angle is 120°

Exterior angle = sum of interior opposite angles

120° = 𝑥 + 60°

𝑥 = 120° − 60°

𝑥 = 60°

(v) Exterior angle is 80°

Exterior angle = sum of interior opposite angles

80° = 𝑥 + 30°

𝑥 = 80° − 30°

𝑥 = 50°

(vi) Exterior angle is 75°

Exterior angle = sum of interior opposite angles

75° = 𝑥 + 35°

𝑥 = 75° − 35°

𝑥 = 40°

**Video Solution:**

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

### NCERT Solutions for Class 7 Maths - Chapter 6 Exercise 6.2 Question 2

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

(i) 𝑥 = 65°, (ii) 𝑥 = 30°, (iii) 𝑥 = 35°, (iv) 𝑥 = 60°, (v) 𝑥 = 50°, (vi) 𝑥 = 40°