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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 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°
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GPT-5 mini
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66°
Reason: ∠PTQ and ∠RTS are central angles (their vertex is the center T). Congruent central angles intercept congruent arcs, so arc PQ = arc SR = 66°.
Reason: ∠PTQ and ∠RTS are central angles (their vertex is the center T). Congruent central angles intercept congruent arcs, so arc PQ = arc SR = 66°.
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