Question

the figure shows two parallel lines cut by a transversal. which angles are congruent to ∠7? choose one option from each drop - down menu to answer the question. ∠choose... and ∠7 are congruent because they are choose... angles. ∠choose... and ∠7 are congruent because they are choose... angles. ∠choose... and ∠7 are congruent because they are choose... angles.

Explanation:

Step1: Recall angle - congruence rules

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

Step2: Identify vertical angle

∠3 and ∠7 are vertical angles. Vertical angles are always congruent.

Step3: Identify alternate - exterior angle

∠1 and ∠7 are alternate - exterior angles. Alternate - exterior angles formed by two parallel lines and a transversal are congruent.

Answer:

∠3 and ∠7 are congruent because they are vertical angles.
∠1 and ∠7 are congruent because they are alternate - exterior angles.