In ΔABC, the external bisectors of the angles ∠B and ∠C meet at the point O. If ∠A = 70°, then the measure of ∠BOC is :

A. 75°

B. 50°

C. 55°

D. 60°

Answer: Option C

Solution(By Examveda Team)

As we know
⇒ The external bisectors of the angle ∠B and ∠C meet at the point O
∠BOC = 90° - $$\frac{{\angle A}}{2}$$
∠BOC = 90° - $$\frac{{70}}{2}$$
∠BOC = 90° - 35°
∠BOC = 55°