Question

a city planner needs to verify that main street and oak street are parallel to each other. which angles must be congruent to prove this? a ∠1 and ∠2 b ∠1 and ∠4 c ∠1 and ∠3 d ∠2 and ∠4 e ∠3 and ∠4

Explanation:

Step1: Recall parallel - line angle rules

If two lines are parallel, corresponding angles are congruent. ∠1 and ∠2 are corresponding angles. When corresponding angles are congruent, the two lines (Main Street and Oak Street) are parallel.

Step2: Analyze other angle pairs

∠1 and ∠4 are vertical angles, ∠1 and ∠3 are alternate - exterior angles, ∠2 and ∠4 are non - related in terms of parallel - line postulates for this case, ∠3 and ∠4 are adjacent angles.

Answer:

A. ∠1 and ∠2