Match the reasons with the statements in the proof to prove that lines l and m are parallel, given that m2 = 122° andm3 = 58° Given:
m2 = 122° andm3 = 58°

Prove:

l || m

1.m2 = 122° andm3 = 58°
Exterior Sides in Opposite Rays
2.3 and 5 are supplementary angles
First Substitution
3.m3 + m5 = 180°
Given
4.58° + m5 = 180°
Second Substitution
5.m5 = 122°
Subtraction Property of Equality
6.m2 = m5
If corresponding angles are equal, then lines are parallel.
7.l || m
Definition of Supplementary Angles