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

**Solution:**

We know that according to the exterior angle theorem, the exterior angle of a triangle is the sum of interior opposite angles.

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°

**☛ Check: **NCERT Solutions for Class 7 Maths Chapter 6

**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

**Summary:**

The value of the unknown interior angle x in the following figures are: (i) 𝑥 = 65°, (ii) 𝑥 = 30°, (iii) 𝑥 = 35°, (iv) 𝑥 = 60°, (v) 𝑥 = 50°, (vi) 𝑥 = 40°

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