Question

complete the statements below. we see that ∠2 and ∠3 are corresponding angles, vertical angles, alternate interior angles, alternate exterior angles. and since the lines u and v are congruent. so, m∠3 = 150°. we see that ∠1 and ∠2 are choose one. thus, ∠1 and ∠2 are supplementary. so, m∠1 = 30°. therefore, ∠1 and ∠3 are choose one.

Explanation:

Step1: Identify angle - pair relationship of ∠1 and ∠2

∠1 and ∠2 are adjacent angles on a straight - line. Adjacent angles on a straight - line are supplementary.

Step2: Calculate measure of ∠1

Given m∠2 = 150°. Since ∠1 and ∠2 are supplementary, m∠1=180° - m∠2. So, m∠1 = 180°-150° = 30°.

Step3: Identify angle - pair relationship of ∠1 and ∠3

∠2 and ∠3 are corresponding angles and are congruent (m∠2 = m∠3 = 150°), m∠1 = 30°. So, ∠1 and ∠3 are neither congruent nor supplementary. They are non - related in a simple additive or equal way among the common angle relationships.

Answer:

We see that ∠1 and ∠2 are supplementary. Thus, m∠1 = 30°. Therefore, ∠1 and ∠3 are non - related in the common angle relationships (such as congruent or supplementary).