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Answer:
x = 10 , y = 15
Step-by-step explanation:
8x - 10 and 7x are alternate angles and are congruent , then
8x - 10 = 7x ( subtract 7x from both sides )
x - 10 = 0 ( add 10 to both sides )
x = 10
Then
8x - 10 = 8(10) - 10 = 80 - 10 = 70
6y + 20 and 8x - 10 are same- side interior angles and sum to 180°, that is
6y + 20 + 70 = 180
6y + 90 = 180 ( subtract 90 from both sides )
6y = 90 ( divide both sides by 6 )
y = 15
