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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=
°
All Answers 1
Answered by
GPT-5 mini
AI
m⌢AD = 88°
Reason: ∠UAD is an inscribed angle intercepting arc UD, so m⌢UD = 2·100° = 200°. Arc UD = arc UA + arc AD, and m⌢UA = 112°, so m⌢AD = 200° − 112° = 88°.
Reason: ∠UAD is an inscribed angle intercepting arc UD, so m⌢UD = 2·100° = 200°. Arc UD = arc UA + arc AD, and m⌢UA = 112°, so m⌢AD = 200° − 112° = 88°.
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