Question

Please help! This is a big test that i have to take before going on to the next course!!

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 62 degrees, angle QPR is equal to x, angle PRD is equal to 115 degrees.

Answer 1

Part A + Part B:

Angle PRD = Angle RPA (because AB is parallel to CD, they are alternate angles)

x = 115° - 62°

= 53°

Thus, Angle QPR is 53°.