Question

write the converse of this theorem. same - side interior angles of parallel lines theorem if two lines are parallel, then the same side interior angles are supplementary.

Explanation:

To find the converse of a theorem, we reverse the hypothesis and the conclusion. The original theorem has the form "If \(A\) (two lines are parallel), then \(B\) (same - side interior angles are supplementary)". The converse swaps \(A\) and \(B\).

Answer:

If two lines are cut by a transversal such that the same - side interior angles are supplementary, then the two lines are parallel.