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If l is parallel to m, find the values of x and y.

If l is parallel to m, find the values of x and y.-example-1

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3 votes

Answer:

x = 8 and y = 21

Explanation:

Alternate interior angles are equal. Therefore, 7x + 12 = 12x - 28

12 = 5x - 28

5x = 40

x = 8

Now, supplementary angles have a sum of 180. Therefore, 12x - 28 + 9y - 77 = 180

Substitute 8 in for x and 12(8) + 12 + 9y - 77 = 180

96 - 28 - 77 + 9y = 180

9y - 9 = 180

9y = 189

y = 21