Question

and ∠6 are alternate angles. ∠2 and are alternate angles. identify the pair of congruent ar ∠3

Explanation:

Step1: Recall alternate - angle concept

When two parallel lines are cut by a transversal, alternate - interior angles are congruent and alternate - exterior angles are congruent.

Step2: Identify alternate angles for ∠2

For the given parallel lines cut by a transversal, ∠2 and ∠7 are alternate - interior angles.

Step3: Identify congruent angle to ∠3

∠1 and ∠3 are vertical angles, and vertical angles are congruent. So ∠1≅∠3.

Answer:

1. ∠2 and ∠7 are alternate angles.
2. ∠1≅∠3