Please help!! i don’t understand how to find mBOC
1 answer:
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 <em>x</em>
<u>Combine like terms:</u> 16x + 72 = 104
<u>Subtract 72 on both sides:</u> 16x = 32
<u>Divide both sides by 16:</u> x = 2
Step 4: Find m∠BOC
m∠BOC = 9(2) + 42
m∠BOC = 18 + 42
m∠BOC = 60°
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