Question

if two parallel lines are cut by a nonperpendicular transversal, which type of angles are not congruent?
alternate exterior angles
corresponding angles
alternate interior angles
same - side interior angles

Explanation:

Step1: Recall angle - pair properties

When two parallel lines are cut by a transversal:

• Alternate exterior angles are congruent.
• Corresponding angles are congruent.
• Alternate interior angles are congruent.
• Same - side interior angles are supplementary (their sum is \(180^{\circ}\)) and not congruent (since the transversal is non - perpendicular, the angles are not \(90^{\circ}\) each).

Answer:

same - side interior angles