Question

1. when two parallel lines are cut by a transversal, which pair of angles are always congruent?

adjacent angles
alternate interior angles
consecutive interior angles
linear pair

Explanation:

• Adjacent angles: When two parallel lines are cut by a transversal, adjacent angles are supplementary (sum to \(180^{\circ}\)) and not always congruent.
• Alternate interior angles: By the Alternate - Interior Angles Theorem, when two parallel lines are cut by a transversal, alternate interior angles are congruent.
• Consecutive interior angles: When two parallel lines are cut by a transversal, consecutive interior angles are supplementary (sum to \(180^{\circ}\)) and not always congruent.
• Linear Pair: A linear pair of angles is supplementary (sum to \(180^{\circ}\)) and not always congruent.

Answer:

Alternate interior angles