Transversal t cuts parallel lines r and s. Which angles must be congruent to <2?

Answer:
∠2 ≅ ∠6 ≅ ∠7 ≅ ∠3
Step-by-step explanation:
Lines r and s are the parallel lines and t then we have to find the angles congruent to ∠2.
∠2 ≅ ∠3
[Since ∠2 and ∠3 are vertically opposite angles.
∠2 ≅ ∠6
[Since ∠2 and ∠6 are corresponding angles]
∠2 ≅ ∠7
Since ∠2 ≅ ∠6
and ∠6 ≅ ∠7 [vertically opposite angles]
So ∠2 ≅ ∠7 [Transitive property of congruence]
Therefore, ∠2 ≅ ∠6 ≅ ∠7 ≅ ∠3 will be the answer.