Question

Given the figure below, find the values of x and z.

Answer 1

x = 5, z = 103

Explanation:

To solve for x:

11x + 22 = 6x + 47 ( Vertical angles are congruent/

have equal measure)

subtract 6x and 22 from both sides

5x = 25

x=5

11x + 22 + z = 180 (linear pairs are supplementary)

substitute 5 for x

11(5) + 22 + z = 180

55 + 22 + z = 180

77 + z = 180

-77 = -77

z = 103