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 corresponding angles are congruent.

Step2: Identify vertical angle to ∠7

∠7 and ∠5 are vertical angles. Vertical angles are congruent.

Step3: Identify corresponding angle to ∠7

∠7 and ∠3 are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are congruent.

Answer:

∠5 and ∠7 are congruent because they are vertical angles.
∠3 and ∠7 are congruent because they are corresponding angles.