Question

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

Answer 1

2,3,6,7 are equal
2 and 3 are equal bc vertical angles
6 and 3 are alternate angles
6 is 7's vertical angle

Answer 2

∠2 ≅ ∠6 ≅ ∠7 ≅ ∠3

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.