Question

Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found  that solution.

Answer 1

Angle 2 is a supplementary angle with 17°, so m∠2 = 163°. Since ∠1 and ∠2 are alternate interior angles of parallel lines, they are congruent, and the m ∠1 = m ∠2. Thus, m∠1 = 163°.

Answer 2

I added a screenshot with the complete question along with its diagram

Answer:
∠1 = 163°

Explanation:
1- getting angle 2:
We know that ∠2 and the 17° form a straight angle. This means that their sum is 180°.
Therefore:
180 = 17 + ∠2
∠2 = 180 - 17
∠2 = 163°

2- getting angle 1:
We are given that lines a and b are parallel.
This means that ∠1 and ∠2 are alternating angles which means that they are equal in measurement.
We have calculated that ∠2 = 163°
This means that:
∠1 = 163°

Hope this helps :)