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How do you find the angle measure?

How do you find the angle measure?-example-1

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Answer:

∠ XYZ = 41°

Explanation:

∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus

8x - 15 = 3x + 20 ( subtract 3x from both sides )

5x - 15 = 20 ( add 15 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Thus

∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°

User Haroen Viaene
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