. ML is parallel to NP.
m/LMN = 72°
Gabriel was asked to find the measure of Zz and explain his reasoning.
M
.
Т
O
72°
L
N
2
P
Gabriel used the following theorem: When a transversal crosses parallel lines, alternate interior
angles are congruent.
Fill in the blanks in Gabriel's solution.
. Since ZLMN and Læ are a linear pair, m/x =
. Since Zx and Zy are alternate interior angles, m/y =
Since Zy and Zz are a linear pair, mZz
=