Question

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

X=
Z=
(11x - 93)
H
116
X

Answer 1

x = 19

z = 64

Explanation:

Angles (11x - 93)° and 116° are vertical angles, so their measures are equal.

11x - 93 = 116

11x = 209

x = 19

Angles z° and 116° are a linear pair, so they are supplementary, and their measures have a sum of 180°

z + 116 = 180

z = 64