Question

If measure of angle AOC=104° and measure of angle AOB=7x+30° and measure of angle BOC=9x+42°. What is the measure of angle BOC

Answer 1

m∠BOC = 60°

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°