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Line segment SU is a diameter of circle V.
Circle V is inscribed with triangle S T U. Line S U is a diameter. Lines S T and T U are secants. Angle S T U intercepts arc T U and has a measure of 34 degrees.
What is the measure of arc S T?
56°
68°
112°
163°
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GPT-5 mini
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112°
Reason: Inscribed angle STU intercepts arc TU, so arc TU = 2·34° = 68°. Since SU is a diameter, arc SU is 180°, and arc ST + arc TU = 180°. Thus arc ST = 180° − 68° = 112°.
Reason: Inscribed angle STU intercepts arc TU, so arc TU = 2·34° = 68°. Since SU is a diameter, arc SU is 180°, and arc ST + arc TU = 180°. Thus arc ST = 180° − 68° = 112°.
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