SSC CGL 2022 PYQ — Question 69

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q69

In △ABC, O is the point of intersection of the bisectors of ∠B and ∠A. If ∠BOC = 108º, then ∠BAO =?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 18º

According to the angle bisector theorem,

∠BOC = 90 + 1/2 × ∠A

∠A = 18 × 2 = 36°

∠BAO = 1/2 of ∠A

∠BAO = 18°