SSC CGL 2020 PYQ — Question 5

SSC CGL Tier II - Quant - 16 Nov 2020 • Quantitative Aptitude • Q5

In △ABC, O is the incentre and ∠BOC = 135º. The measure of ∠BAC is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 90º

By using the angle bisector theorem we get,

∠BOC = 90 + 1/2 of ∠BAC.

135 = 90 + ∠BAC\2

∠BAC = 90°.