Question

applying angle relationships to justify parallel lines. which lines are parallel? justify your answer. lines p and q are parallel because same side interior angles are congruent. lines p and q are parallel because alternate exterior angles are congruent. lines l and m are parallel because same side interior angles are supplementary. lines l and m are parallel because alternate interior angles are supplementary.

Explanation:

Step1: Recall angle - parallel line relationships

Same - side interior angles are supplementary for parallel lines, alternate interior angles are congruent for parallel lines, and alternate exterior angles are congruent for parallel lines.

Step2: Analyze the given angles

The 130 - degree angles are alternate exterior angles formed by lines \(p\) and \(q\).

Answer:

Lines \(p\) and \(q\) are parallel because alternate exterior angles are congruent.