In ΔABC, AB and AC are produced to points D and E, respectively. If the bisectors of ∠CBD and ∠BCE meet at point O, so that ∠ BOC = 76°, then find the measure of ∠A.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 28°.
76° = 90° - ∠A/2
⇒ ∠A/2 = 90° - 76° = 14°
⇒ ∠A = 14° × 2 = 28°