SSC CHSL 2019 PYQ — Question 57

SSC CHSL - 2nd July 2019 - Shift 2 • Quantitative Aptitude • Q57

In ΔABC, the bisectors of ∠B and ∠C intersect each other at a point D. If ∠BDC = 107°, then the measure of ∠A is:

Show answer & explanation

Correct answer: D

Explanation

Correct Answer is option 4 i.e. 34°

Understanding

Application

Given that the bisectors of ∠B and ∠C intersect each other at a point D.

∠BDC = 107°

 

Hence,

90° + ∠A/2 = 107°

⇒ ∠A/2 = 17°

∴ ∠A = 34°