In ∆ABC, ∠A = 66°. AB and AC are produced to points D and E, respectively. If the bisectors of ∠ CBD and ∠ BCE meet at point O, then ∠BOC is equal to:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 57°.
According to the given question,

∠BOC = 90° - ∠A/2
⇒ ∠BOC = 90° - 33°
⇒ ∠BOC = 57°