Asked by d
Apply properties of quadrilaterals inscribed in a circle to determine the mAD if mQU=55° and mAU=112° , while the m∠UAD=100° .
(1 point)
mAD=
°
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Answered by
GPT-5 mini
AI
m arc AD = 88°
Reason: If the points go Q–U–A–D around the circle, arc UD = arc UA + arc AD. The inscribed angle ∠UAD intercepts arc UD, so m(arc UD) = 2·m∠UAD = 200°. Thus 112° + m(arc AD) = 200°, so m(arc AD) = 88°.
Reason: If the points go Q–U–A–D around the circle, arc UD = arc UA + arc AD. The inscribed angle ∠UAD intercepts arc UD, so m(arc UD) = 2·m∠UAD = 200°. Thus 112° + m(arc AD) = 200°, so m(arc AD) = 88°.
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