Asked by d

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

mAD=115°
m Modifying above upper A upper D with arc equals 115 degrees

m∠D=169°
m angle upper D equals 169 degrees

m∠B=95.5°
m angle upper B equals 95.5 degrees

mADC=84.5°

All Answers 1

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

Reason: arc AD = 360° − (54°+115°+86°) = 105°. Arc ADC = arc AD + arc DC = 105° + 86° = 191°. An inscribed angle = half its intercepted arc, so ∠B = 1/2·191° = 95.5°. (For reference ∠D = 1/2·arc AC = 1/2·169° = 84.5°.)