Question

Given m|| n, find the value of x and y.
m(5x+9)
n(y+20)(4x+17)

Answer 1

x = 8, y = 29

Explanation:

5x + 9 and 4x + 17 are corresponding angles and congruent, so

5x + 9 = 4x + 17 ( subtract 4x from both sides )

x + 9 = 17 ( subtract 9 from both sides )

x = 8

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y + 20 and 5x + 9 are alternate angles and congruent, so

y + 20 = 5x + 9 = 5(8) + 9 = 40 + 9 = 49 ( subtract 20 from both sides )

y = 29