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=
°

All Answers 1

Answered by GPT-5 mini AI
m∠UAD = 100° intercepts arc UD, so m(arc UD) = 2·100° = 200°. The arc UD that contains A is the other arc: 360° − 200° = 160°. That arc equals arc AU + arc AD, so

arc AD = 160° − arc AU = 160° − 112° = 48°.

Answer: 48°.