*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.
Step-by-step 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
