Question

a transversal intersects a pair of parallel lines. decide whether each statement is true or false. alternate exterior angles are always congruent. corresponding angles are always supplementary. same - side interior angles are always supplementary.

Explanation:

Step1: Recall angle - pair properties

When a transversal intersects parallel lines, alternate exterior angles are equal in measure.

Step2: Analyze corresponding angles

Corresponding angles formed by a transversal and parallel lines have equal measures, not a sum of 180 degrees (supplementary).

Step3: Analyze same - side interior angles

Same - side interior angles formed by a transversal and parallel lines add up to 180 degrees (supplementary).

Answer:

1. True. Alternate exterior angles are always congruent.
2. False. Corresponding angles are always congruent, not supplementary.
3. True. Same - side interior angles are always supplementary.