In ∆ABC, the bisectors of angle ABC and angle ACB intersect each other at point O. If the angle BOC is 125°, then the angle BAC is equal to:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 70°.
Given that
In a ∆ABC, the bisectors of angle ABC and angle ACB intersect each other at point O
the angle BOC is 125°,
According to the internal angle bisector theorem
∠BOC = 90° + ∠ BAC/2
⇒ ∠ BAC/2 = 125° - 90° = 35°
⇒ ∠ BAC = 70°