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Mandarinka [93]
3 years ago
11

10 Pts + Brainliest for best answer. Please answer quickly. Thanks!

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0
Correct answer is C! Good luck!
Juliette [100K]3 years ago
5 0

m∠AOC = m∠AOB + m∠BOC

We have m∠AOC = 19°, m∠AOB = 4x - 15 and m∠BOC = 2x + 10. Substitute:

19 = (4x - 15) + (2x + 10)

19 = (4x + 2x) + (-15 + 10)

19 = 6x - 5          <em>add 5 to both sides</em>

24 = 6x       <em>divide both sides by 6</em>

4 = x

m∠BOC = 2x + 10 → m∠BOC = 2(4) + 10 = 8 + 10 = 18

m∠AOB = 4x - 15 → m∠AOB = 4(4) - 15 = 16 - 15 = 1

<h3>Answer: c. m∠BOC = 18°, m∠AOB = 1°</h3>
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