Question

Given: angle 3 and angle 5 are supplementary

prove line a is parallel to line b using postulates and theorems

you cannot use the same side interior, same side exterior, alternate interior, or alternate exterior theorems. you can use any others

Answer 1

Angles 3 and 5 are supplementary (given).

Angles 3 and 5 form a linear pair (definition of supplementary angles).

Line a is parallel to line b (definition of linear pair).