In ∆ABC, AB and AC are produced to point D and E, respectively. If the bisectores of ∠CBD and ∠BCE meet at point O such that ∠BOC =76⁰, then ∠A=?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 28°.
∠BOC = 76°, formed by external angle bisectors
∠BOC = 90° – 1/2∠A
⇒ 76° = 90° – 1/2∠A
⇒ 1/2∠A = 14°
⇒ ∠A = 28°