Question

In the figure below, n || m. Find the values of z and y

Answer 1

y = 27
z = 111

For y:
Since N is parallel to M, the angles 69° and 6y-93 are congruent.

Set 6y - 93 = 69
+ 93 +93

6y = 162

y = 27

For Z:
A ray will always equal 180° so combine:

6y - 93 + z = 180

since you already have y, plug it in to get
162 - 93 + z = 180
69 + z = 180
-69 -69

z = 111