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lawyer [7]
3 years ago
5

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

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

x = 8 and y = 21

Step-by-step 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

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