In ΔABC, ∠A = 48°. AB and AC are produced to points D and E, respectively. If the bisectors of ∠CBD and ∠BCE meet at a point O, then ∠BOC is equal to:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 66°.
When the bisectors of exterior angles at B and C meet at O:
∠BOC = 90° − ∠A/2
∠BOC = 90° − (48°/2) = 90° − 24° = 66°.