Asked by bob
Arc QVT measures 156°.
Circle P is shown. Point V on the circle between points Q and T. Angles R and S intersect arc Q T. Angles Q and T intercept arc R S.
Which statement must be true?
Angles QRT and QST both measure 78°.
Angles QRT and QST both measure 156°.
Angle QRT measures 78° and angle QST measures 102°.
Angle QRT measures 156° and angle QST measures 24°.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: Angles QRT and QST both measure 78°.
Reason: Arc QT = arc QVT = 156°. An inscribed angle measures half its intercepted arc, so the inscribed angles with vertices R and S that intercept arc QT each measure 156°/2 = 78°.
Reason: Arc QT = arc QVT = 156°. An inscribed angle measures half its intercepted arc, so the inscribed angles with vertices R and S that intercept arc QT each measure 156°/2 = 78°.
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