Question

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

Given: AB is parallel to CD

Prove: Same-side interior angles are supplementary

Answer 1

PLEASE HELP ME!!

Answer 2

I can

Answer 3

Given that ab is parallel to cd, that means 1 + 2 = 180 by the definition of supplementary angles

Answer 4

1 = 3 and 2 = 4 from the vertical angles theorem

Answer 5

3 = 5 from the alternate interior angles theorem

Answer 6

therefore, if 2 = 4 and 1= 3 = 5, then 4 and 5 are supplementary, proving that same-side interior angles are supplementary

Answer 7

OMG! Thanks so much! You are a lifesaver! :D

Answer 8

you are welcome