Question

converse of the same - side interior angles postulate. if two lines and a transversal form same - side interior angles that are supplementary, then the two lines are parallel.

Explanation:

This is a key geometric theorem. It states that when two lines and a transversal create supplementary same - side interior angles, the two lines must be parallel. It's used to prove line parallelism.

Answer:

This is a geometric postulate about determining parallel lines based on the relationship of same - side interior angles.