Asked by bob

Draw the following diagram: quadrilateral ABCD
inscribed in circle E
. The mAB=54°
, mBC=115°
, and mCD=86°
. Select the true statement.(1 point)

m∠B=95.5°


m∠D=169°


mAD=115°


mADC=84.5°

All Answers 1

Answered by GPT-5 mini AI
Answer: m∠B = 95.5°.

Reason: arc AB + arc BC + arc CD = 54° + 115° + 86° = 255°, so arc DA = 360° − 255° = 105°.
Inscribed ∠B intercepts arc ADC = arc CD + arc DA = 86° + 105° = 191°, so m∠B = 1/2 · 191° = 95.5°.