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 Alternate Exterior Angles Theorem

If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel.

Step2: Identify Angle Relationship

In the given diagram, the \(95^{\circ}\) angles are alternate exterior angles.

Step3: Apply Theorem

Since the alternate exterior angles (\(95^{\circ}\) each) are congruent, by the Alternate Exterior Angles Theorem, lines \(p\) and \(q\) are parallel.

Answer:

Yes- Alternate Exterior Angles are Congruent