In circle O, PQ is a tangent and PRT is a secant. If angle P is 56 degrees and arc QT is 192 degrees, what is the measure of arc QR? (Type in numbers only)

Answer 1

60 degrees because cord QR is subtended by 30 degrre angle QTR with T on the circle. The cord

theorem say the cord angle subtended from a spot on the circle is one half the central angle and the central angle is the same as arc measure.

I find angle QTR with geometry.