## Chapter 6 Triangle and its Properties Exercise 6.2

**Question 1: Find the value of the unknown exterior angle x in the following diagram:****(i)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 50° + 70° = x

= 120° = x

Therefore, exterior angle x is equal to 120°.**(ii)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 65° + 45° = x

= 110° = x

Therefore, exterior angle x is equal to 110°.**(iii)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 30° + 40° = x

= 70° = x

Therefore, exterior angle x is equal to 70°.

**(iv)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 60° + 60° = x

= 120° = x

Therefore, exterior angle x is equal to 120°.

**(v)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 50° + 50° = x

= 100° = x

Therefore, exterior angle x is equal to 100°.

**(vi)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 30° + 60° = x

= 90° = x

Therefore, exterior angle x is equal to 90°.

**Question 2: Find the value of the unknown interior angle x in the following figures:**

(i)

(i)

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 50° + x = 115°

= 115° - 50° = 65°

= x = 65°

Therefore, interior angle x is equal to 65°.

**(ii)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 70° + x = 100°

= 100° - 70° = 30°

= x = 30°

Therefore, interior angle x is equal to 30°.

(iii)

(iii)

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 90° + x = 125°

= 125° - 90° = 35°

= x = 35°

Therefore, interior angle x is equal to 35°.

**(iv)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 60° + x = 120°

= 120° - 60° = 60°

= x = 60°

Therefore, interior angle x is equal to 60°.

**(v)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 30° + x = 80°

= 80° - 30° = 50°

= x = 50°

Therefore, interior angle x is equal to 50°.

**(vi)**

**Answer:**

(by using sum of 2 interior opposite angle is equal to the exterior angle)

= 35° + x = 75°

= 75° - 35° = 40°

= x = 40°

Therefore, interior angle x is equal to 40°.

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