Question

Given the figure below, find the values of x and z.
10
Z

Answer 1

x = 14

Z = 60°

Explanation:

9x - 6 = 12x - 48 (because these are congruent vertical angles)

-3x = -42

x = -42/-3 = 14

Find the measure of the vertical angles:

9(14) - 6 = 120 (this angle is supplementary to angle Z)

180 - 120 = 60 = m∠Z