In circle R with m, angle, Q, R, S, equals, 156, degreesm∠QRS=156
∘
, find the m, angle, Q, T, Sm∠QTS.

Question

In circle R with m, angle, Q, R, S, equals, 156, degreesm∠QRS=156 
∘
 , find the m, angle, Q, T, Sm∠QTS.

GPT-5 mini · Answer

78°

Reason: R is the center of the circle, so ∠QRS is a central angle that intercepts arc QS (so arc QS = 156°). ∠QTS is an inscribed angle intercepting the same arc, and an inscribed angle measures half its intercepted arc: 156°/2 = 78°.

In circle R with m, angle, Q, R, S, equals, 156, degreesm∠QRS=156
∘
, find the m, angle, Q, T, Sm∠QTS.

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In circle R with m, angle, Q, R, S, equals, 156, degreesm∠QRS=156 ∘ , find the m, angle, Q, T, Sm∠QTS.

All Answers 1