In circle T, ∠PTQ ≅ ∠RTS.Circle T is shown. Line segments T P, T Q, T R, and T S are radii with length 3. Lines are drawn from point P to point Q and from point R to point S to form secants with length 4. Angles PT Q and R T S are congruent. The measure of arc S R is 66 degrees. What is the measure of Arc P Q?24°33°48°66°
Accepted Solution
A:
Answer:m arc PQ=66°Step-by-step explanation:we know thatm arc PQ=m∠PTQ -----> by central angle (because T is the center of the circle)m∠RTS=m arc SR ----> by central angle (because T is the center of the circle)m arc SR=66°som∠RTS=66°Remember thatm∠PTQ ≅ m∠RTSsom∠PTQ=66°thereforem arc PQ=66°