Answer:
∠BOC = 45
Step-by-step explanation:
∠BOC + ∠AOB = ∠AOC ----------eq.1
where:
∠AOC = 96
∠BOC = 8x - 67
∠AOB = 9x - 75
find: ∠BOC
plugin values into the eq.1
∠BOC + ∠AOB = ∠AOC
8x - 67 + 9x - 75 = 96
8x + 9x - 67 - 75 = 96
17x = 96 + 67 + 75
17x = 238
x = 238 / 17
x = 14
plugin x into ∠BOC = 8x - 67
∠BOC = 8x - 67
∠BOC = 8(14) - 67
∠BOC = 45
