Answer:
∠AOB = 112°
Explanation:
mentally draw line segment OC
that line bisects 124° so ∠OCB = 1/2(124°) = 62°
ΔOCB is isosceles because OB = OC
∠OBC = 62° because it is equal to ∠OCB
all triangle interior angles add up to 180°
∠BOC = 180° - 62° - 62° = 56°
∠AOC = 56° because OC was a bisector of ∠AOB
∠AOB = 56° + 56° = 112°