Question

URGENT HELP! Will give Most BRAINLIEST!

Answer 1

Answer:

See Below.

Step-by-step explanation:

We know that r and s are parallel. This means that p and q are transversals.

We also know that ∠1 and ∠4 are supplementary.

And we want to prove that p is parallel to q.

  Statements:                                 Reasons:

1) $\bf{r\parallel s$                                              Given

2) $\angle 1 \text{ and }\angle 4\text{ are supplementary}$     Given

3) $\angle 1\text{ and } \angle 5 \text{ are supplementary}$     Consecutive (Interior) Angles Theorem

4) $\bf{\angle 5\cong \angle 4}$                                      Congruent Supplements Theorem

5) $p\parallel q$                                           Corresponding Angles Theorem Converse

And we are done!