Question

Given m∥n, find the value of x and y.

Answer 1

x = 23

y = 137

Explanation:

Alternate interior angles have the same measurement (congruent)

3x - 20 = 2x + 3 Subtract 2x from both sides

3x - 2x - 20 = 2x - 2x + 3

x - 20 = 3 Add 20 to both sides

x = 23

Adjacent angles add to 180

3x - 20 + y - 6 = 180 Substitute 23 for x

3(23) -20 + y -6 = 180

69 - 20 + y -6 = 180 Combine like terms

43 + y = 180 Subtract 43 from both sides

y = 137