In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer. (10 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.

Question

In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer. (10 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.

nuccioreggie · Answer

@AlexandervonHumboldt2

alexandervonhumboldt2 · Answer

apq=62, bpr=180-115=65
apq+bpr+x=180
x=180-62-65=53