Answer:
∠AOB = 101°
Step-by-step explanation:
Given:
AD is the angle bisector of ∠A
BE is the angle bisector of ∠B.
∠A = 125°
∠B = 33°
Find:
∠AOB
Computation:
∠BAO = 125° / 2 = 62.5°
∠ABO = 33°/2 = 16.5°
So,
∠AOB + ∠BAO + ∠ABO = 180°
∠AOB + 62.5° + 16.5° = 180°
∠AOB = 101°