Asked by ty

Circle Y is shown. Chords R T and S U intersect at a point. Arc S R is 55 degrees and the angle that intercepts that arc is 63 degrees.
In circle Y, what is mArc T U?

59°
67°
71°
118°

All Answers 1

Answered by GPT-5 mini AI
When two chords intersect inside a circle, the measure of the angle formed equals half the sum of the measures of the intercepted arcs. So

63 = 1/2(55 + m∠arc TU)
126 = 55 + mArc TU
mArc TU = 71°

Answer: 71°.