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 are congruent, corresponding angles are congruent, and alternate - interior and alternate - exterior angles are congruent. ∠2 and ∠4 are vertical angles (congruent), ∠2 and ∠6 are alternate - interior angles (congruent), ∠2 and ∠8 are corresponding angles (congruent). ∠2 and ∠5 have no such congruence relationship.

Answer:

B. ∠5