Question

lines l and m are parallel lines cut by the transversal line t. which angle is not congruent to ∠1?

Explanation:

Step1: Recall angle - relationships in parallel lines.

When two parallel lines are cut by a transversal, vertical angles, corresponding angles, and alternate - interior/exterior angles are congruent. ∠1 and ∠3 are vertical angles (congruent), ∠1 and ∠5 are corresponding angles (congruent), ∠1 and ∠7 are alternate - exterior angles (congruent). ∠1 and ∠2 are supplementary (not congruent).

Answer:

∠2