Question

∠2 ≅ ∠ because they are corresponding angles of parallel lines cut by a transversal. ∠5 ≅ ∠ by the Vertical Angles Theorem.

Answer 1

*see diagram in the attachement below

Answer:

∠2 ≅ ∠6 because they are corresponding angles of parallel lines cut by a transversal. ∠5 ≅ ∠8 by the Vertical Angles Theorem.

Explanation:

We are required to find the angle that is congruent to <2 and the angle that is congruent to <5.

Already, we are given the reasons to justify the answers we get.

Thus:

<2 has matching corner as <6. Hence they are corresponding angles

<5 and <8 are vertical angles having the same vertex and are directly opposite each other. Therefore, based on the vertical angles theorem, <5 ≅ <8