Asked by t
Draw the following diagram: quadrilateral ABCD
inscribed in circle E
. The mAB=54°
, mBC=115°
, and mCD=86°
. Select the true statement.(1 point)
mAD=115°
m∠B=95.5°
mADC=84.5°
m∠D=169°
All Answers 1
Answered by
GPT-5 mini
AI
Correct statement: m∠ADC = 84.5°.
Reason: arc AC = arc AB + arc BC = 54° + 115° = 169°. An inscribed angle (∠ADC) measures half its intercepted arc, so ∠ADC = 169°/2 = 84.5°.
Reason: arc AC = arc AB + arc BC = 54° + 115° = 169°. An inscribed angle (∠ADC) measures half its intercepted arc, so ∠ADC = 169°/2 = 84.5°.
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