Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.
Parallel lines v and w are crossed by transversal t. Clockwise from top left, the angles formed with line v are 155 degrees, blank, blank, blank; with line w are 1, 2, 3, 4.
Examine Carmen’s rail plans to identify the measure of ∠1. The streets represented by lines V and W are parallel.

Step-by-step explanation:

The missing diagram is shown in the attachment.

We need to Examine Carmen’s rail plans to identify the measure of ∠1.

Recall that corresponding angles are equal.

From Carmen’s rail plans, the measure of  corresponds to 155 degrees because the streets represented by lines V and W are parallel and t is a transversal.

Therefore

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°.

Step-by-step explanation: