Question

What is the measure of ∠XYZ? Show your work to support your answer.

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Answer 1

∠XYZ = 74°

Explanation:

∠XYZ = ∠WYV

3x+20 = 5x-16

5x-3x = 20+16

2x = 36

x = 18

so, ∠XYZ = 3x+20

∠XYZ = (3×18)+20

∠XYZ = 74

Answer 2

3x + 20 = 5x - 16

3x - 5x = -16 - 20

-2x = -36

x = -36/-2

x = 18

The measure of angle xyz can also be said to be the measure of angle y.

So, y = (3•18 + 20)

y = 54 + 20

y = 74°

The measure of angle xyz = 74°.