Question

Lines g and h are parallel and m 1 = 45°
What is m 2 8?

Answer 1

m<5 = 45 deg

Explanation:

Since lines g and h are parallel, you have a transversal cutting parallel lines. Then, corresponding angles are congruent.

Angles 1 and 5 are corresponding angles, so they are congruent, and their measures are equal.

m<5 = m<1 = 45 deg.

Angles 5 and 8 are vertical angles, so they are congruent, and their measures are equal.

m<8 = m<5 = 45 deg

Answer: m<5 = 45 deg