# Question: proofshow detail two lines are parallel and we have a...

###### Question details

PROOF-Show detail.

Two lines are parallel and we have a non-perpendicular transversal. We assume conjecture 1 holds, which states that same-side interior angles are supplementary.

We can assume conjecture 2 holds, which states that alternate interior angles are congruent.

We **cannot** use alternate exterior angles are
congruent and corresponding angles are congruent.

**PROOF: Alternate exterior angles are
congruent.**