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In ΔWXY, m∠W = (7x+8) , m∠X = (2x−15), and m∠Y = (2x+0) . Find m∠Y.

1 Answer

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Answer:

m∠Y = 34°

Explanation:

We know what the sum of the angles is, so we can use that to write an equation that we can solve for x. Knowing x, we can find the measure of angle Y.

The sum of angle measures is 180°, so we have ...

m∠W + m∠X + m∠Y = 180°

(7x+8) +(2x -15) +(2x +0) = 180

11x -7 = 180 . . . . . collect terms

11x = 187 . . . . . . . add 7

x = 17 . . . . . . . . . . divide by 11

The measure of ∠Y is ...

m∠Y = 2x+0 = 2·17 = 34 . . . . . degrees

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