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 Relationships

Alternate interior angles are formed when a transversal crosses two lines.

Step2: Check Given Angles

Here, the two \(45^{\circ}\) angles are alternate interior angles.

Step3: Apply Parallel Line Theorem

If alternate interior angles are congruent, the lines are parallel. Since \(45^{\circ}=45^{\circ}\), lines \(p\) and \(q\) are parallel by the Alternate Interior Angles Theorem.

Answer:

Yes- Alternate Interior Angles are Congruent