Question

carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city. examine carmens rail plans to identify the measure of ∠1. the streets represented by lines v and w are parallel. what is the m∠1? 25° 35° 145° 155°

Explanation:

Step1: Identify angle - pair relationship

The 155 - degree angle and ∠2 are corresponding angles. Since lines v and w are parallel, ∠2 = 155°.

Step2: Use linear - pair property

∠1 and ∠2 form a linear pair. So, m∠1+ m∠2 = 180°.

Step3: Solve for m∠1

m∠1=180° - 155° = 25°.

Answer:

25°