SSC CGL 2019 PYQ — Question 69

SSC CGL - 4th June 2019 - Shift 1 • Quantitative Aptitude • Q69

In a ΔABC, the bisectors of ∠B and ∠C meet at point O, inside the triangle. If ∠BOC = 122°, then the measure of ∠A is:

Show answer & explanation

Correct answer: B

Explanation

Correct answer is option 2 i.e. 64°

Concept

Understanding

Application

Fair calculation

In case of angle bisector,

∠BOC = 90° + (∠A/2)

Given ∠BOC = 122°

122 = 90 + (A/2)

A = 64°

(122 – 90) × 2 = 64