Question

1. are the following lines parallel? there is not enough information to determine or not congruent yes- alternate interior angles are congruent yes- alternate exterior angles are congruent yes- corresponding angles are congruent yes- consecutive interior angles are supplementary

Explanation:

Step1: Recall angle - parallel line relationships

When two lines are cut by a transversal, if alternate exterior angles are congruent, the lines are parallel.

Step2: Identify angle type

The \(120^{\circ}\) angles in the diagram are alternate exterior angles.

Step3: Apply the theorem

Since the alternate exterior angles are congruent (both \(120^{\circ}\)), by the Alternate Exterior Angles Theorem, lines \(p\) and \(q\) are parallel.

Answer:

Yes- Alternate Exterior Angles are Congruent