Question

Parallel lines m and n are cut by the transversial line t. Prove ∠1 amd ∠4 are supplementary. Move options to the boxes to complete the proof.

Answer 1

Parallel lines cut by a transversal create corresponding angles that are congruent, so ∠1 and ∠4 have the same measure and therefore are supplementary.

Step-by-step explanation:

In order to prove that ∠1 and ∠4 are supplementary, we need to use the fact that parallel lines cut by a transversal create corresponding angles that are congruent. In this case, ∠1 and ∠4 are corresponding angles. Since corresponding angles are congruent, we can say that ∠1 and ∠4 have the same measure. And if two angles have the same measure, then they are supplementary.