Question

Please help!! i don’t understand how to find mBOC

Answer 1

Answer:

m∠BOC = 60°

Step-by-step explanation:

m∠AOB and m∠BOC have to add up to m∠AOC.

Step 1: Define

m∠AOB = 7x + 30

m∠BOC = 9x + 42

m∠AOC = 104

Step 2: Set up

7x + 30 + 9x + 42 = 104

Step 3: Solve for x

Combine like terms: 16x + 72 = 104

Subtract 72 on both sides: 16x = 32

Divide both sides by 16: x = 2

Step 4: Find m∠BOC

m∠BOC = 9(2) + 42

m∠BOC = 18 + 42

m∠BOC = 60°