Is it possible to prove that p and q are parallel lines? If so, explain how?

Question

anonymous · Answer

What p and q? Lines that are parallel have equal slope but different y-intercepts.

anonymous · Answer

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anonymous · Answer

Uh well if you're given that. It is parallel.. because 56 and 124 add to 180. This is an intersection of 2 lines.

anonymous · Answer

Take out the q and just focus on the p line and the 124 degrees. We know that any intersecting lines have supplemental angles that add up to 180 degrees. So the angle created by the line on the right side is 56.

The same is true for the p line. The missing angle on the left is 124. Since they both have the same angle measures the lines are parallel. You can test this by saying if both of them were on top of each other, they would be the same line. Since they are not in this example they have to be parallel.