The angle between the external bisectors of two angles of a triangle is 60°. Then the third angle of the triangle is

A. 40°

B. 50°

C. 60°

D. 80°

Answer: Option C

Solution(By Examveda Team)

According to question,

Given : ∠BOC = 60°
As we know that
∴ ∠O = 90 - $$\frac{1}{2}$$ ∠A
⇒ $$\frac{1}{2}$$ ∠A = 90° - 60°
⇒ $$\frac{1}{2}$$ ∠A = 30°
⇒ ∠A = 60°