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Colt1911 [192]
3 years ago
7

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

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

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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