Use a paragraph proof to prove the converse of the same-side interior angles theorem.

Given: Same-side interior angles are supplementary

Prove: segment A B is parallel to segment C D.

Transversal EF cuts through parallel line segments AB and CD, creating four sets of corresponding angles; angles 1, 2, 3, 4 are formed by EF and AB; angles 5, 6, 7, 8 are formed by EF and CD.

Question

Use a paragraph proof to prove the converse of the same-side interior angles theorem.

Given: Same-side interior angles are supplementary

Prove: segment A B is parallel to segment C D.

Transversal EF cuts through parallel line segments AB and CD, creating four sets of corresponding angles; angles 1, 2, 3, 4 are formed by EF and AB; angles 5, 6, 7, 8 are formed by EF and CD.