Question

Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.

Answer 1

Answer:

$m\angle 1=155\degree$

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 $\angle 1$  corresponds to 155 degrees because the streets represented by lines V and W are parallel and t is a transversal.

Therefore $m\angle 1=155\degree$

Answer 2

Answer:

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: