Question

Complete the two column proof? Given 1 and 6 are supplementary, prove 1 is parallel to m.

Answer 1

Lines L and M make the same angle with the intersecting line .

Explanation:

a1 and a6 are supplementary angles, meaning they add to 180 degrees.
`a1 = 180 - a6`
This means that a5, which is `180-a6` given that the angles are made by a line intersecting another line, IS a1.
`a1 = a5` `(=180-a6)`
This means that lines L and M make the same angle with the intersecting line, meaning they are parallel.