SSC CHSL 2019 PYQ — Question 72

SSC CHSL - 9th July 2019 - Shift 1 • Quantitative Aptitude • Q72

In ΔABC, ∠A = 52°. Its side AB and AC are produced to the points D and E respectively. If the bisectors of the ∠CBD and ∠BCE meet at point O, then ∠BOC is equal to:

Show answer & explanation

Correct answer: B

Explanation

The Correct Answer is option 2 i.e. 64°

Concept

Understanding

With the property of external angle bisectors:

∠BOC = 90 – A/2

Given:

∠A = 52°

  Application
 

∠BOC = 90 – A/2

⇒ ∠BOC = 90 – 52/2

⇒ ∠BOC = 90 – 26

⇒ ∠BOC = 64