In an △ABC, the bisector of ∠B and ∠C meet at O in the triangle. If ∠BOC = 134°, then the measure of ∠A is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 88°.
Given:
BO and CO are bisectors of ∠B and ∠C
∠BOC = 134°
Concept used:
If in a given △ABC, BO, and CO are angle bisectors then, ∠BOC = 90° + ∠A/2
Now, according to the question
As BO and CO are angle bisectors of ∠B and ∠C
∠BOC = 90° + ∠A/2
⇒ 134° = 90° + ∠A/2
⇒ ∠A = 2 × 44°
∠A is 88°