Respuesta :

sqdancefan

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°