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.

Answer 1

Angle 2 = Angle 4 Vertically Opposite Angles
angle 4 = Angle 6 Alternate Angles
therefore Angle 2= Angle 6
Angle 3+ Angle 2= 180 degrees Sum of adjacent angles is !80 degrees
but Angle 2 = Angle 6
Angle 3+ Angle 6 = 180 degrees hence Same Side interior angles are supplementary
There is your proof

Answer 2

thanks you:)