Question

when ______ angles made by two lines and a transversal are congruent, the lines are parallel. a) alternate interior b) same side interior c) supplementary d) same side exterior

Explanation:

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent. Conversely, if alternate interior angles formed by two lines and a transversal are congruent, the two lines are parallel. Same - side interior angles are supplementary when lines are parallel, not congruent. Same - side exterior angles don't have a congruence - based parallel line determination rule like alternate interior angles. Supplementary angles are related to same - side interior angles for parallel lines, not a congruence condition for alternate interior - like parallel line proof. So the correct answer is A.

Answer:

A) alternate interior