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3 years ago

Please help ASAP! 20 points!

Mathematics

1 answer:

spin [16.1K]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

∠AOB + ∠BOC = ∠AOC← substitute values

x + 3 + 4x - 7 = 2x + 11, that is

5x - 4 = 2x + 11 ( subtract 2x from both sides )

3x - 4 = 11 ( add 4 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Thus

∠AOB = x + 3 = 5 + 3 = 8°

∠AOC = 2x + 11 = (2 × 5) + 11 = 10 + 11 = 21°

∠BOC = 4x - 7 = (4 × 5) - 7 = 20 - 7 = 13°

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