Answer:
m∠BOC = 60°
Step-by-step explanation:
If we assume that ∠AOC = ∠AOB +∠BOC, then we can write the equation ...
104° = (7x +30°) + (9x +42°)
104° = 16x +72° . . . . . . collect terms
32° = 16x . . . . . . . . . . . subtract 72°
2° = x . . . . . . . . . . . . . . divide by 16
Then the measure of ∠BOC is ...
m∠BOC = 9x +42° = 9(2°) +42°
m∠BOC = 60°
