SSC Selection Post 2019 PYQ — Question 54

SSC Selection Post - Higher Secondary Level - 16 Oct 2019 - Shift 2 • Quantitative Aptitude • Q54

In ΔABC, ∠A = 48°. AB and AC are produced to points D and E respectively. If the bisectors of angle CBD and angle BCE meet at point O, then ∠BOC is equal to:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 66°.

According to angle bisector theorem, ∠BOC = 90° - ∠A/2

⇒ 90° - 48°/2 

⇒ 90° - 24° = 66°