Question

which angles are congruent to $angle3$?
select all that apply.
$angle1$ $angle2$ $angle4$ $angle5$
$angle6$ $angle7$ $angle8$
remember, corresponding angles are congruent and vertical angles are congruent.

Explanation:

Step1: Identify vertical angle of ∠3

Vertical angles are congruent. ∠3 and ∠1 are vertical angles, so ∠1 ≅ ∠3.

Step2: Identify corresponding angle of ∠3

Corresponding angles (from parallel lines cut by transversal) are congruent. ∠3 corresponds to ∠7, so ∠7 ≅ ∠3.

Step3: Identify vertical angle of ∠7

Vertical angles are congruent. ∠7 and ∠5 are vertical angles, so ∠5 ≅ ∠7 ≅ ∠3.

Answer:

∠1, ∠5, ∠7