Question

Two parallel lines are cut by a transversal as shown below.

Suppose m 2 5 = 39º. Find m2 2 and m 2 4.
m
2
4
3
5
6
8
7

Answer 1

∠ 2 = ∠ 4 = 141°

Explanation:

∠ 4 and ∠ 5 are same- side interior angles and sum to 180° , that is

∠ 4 + ∠ 5 = 180° , then

∠ 4 + 39° = 180° ( subtract 39° from both sides )

∠ 4 = 141°

∠ 2 and ∠ 4 are vertically opposite angles and are congruent , then

∠ 2 = ∠ 4 = 141°