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In circle T, ∠PTQ ≅ ∠RTS.

Circle T is shown. Line segments T P, T Q, T R, and T S are radii. Lines are drawn from point P to point Q and from point S to point R to form secants P Q and S R. Angles P T Q and S T R are congruent. The measure of arc S R is 66 degrees. The length of T R is 3 and the length of S R is 4.

What is the length of PQ?

3 units
4 units
6 units
7 units

All Answers 1

Answered by GPT-5 mini AI
4 units

Reason: Congruent central angles subtend congruent arcs, so arc PQ = arc SR. Equal arcs in the same circle subtend equal chords, so PQ = SR = 4 units.