Lines PTQ and PUR are tangent to a circle, as shown below. If angle QTA = 41 degrees and angle RUA = 63 degrees, then find angle QPR, in degrees.
https://latex.artofproblemsolving.com/c/c/1/cc16b62c53fd72035896c4f0760d814431cc0883.png
arc(TA) = 2·41o = 82o
arc(AU) = 2·63o = 126o
arc(TAU) = 82o + 126o = 208o
arc(TU) = 360o - 208o = 152o
angle(QPR) = ½·(208o - 152o) = 28o
