Answer:
m<5 = 45 deg
Step-by-step 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
