Asked by d
Quadrilateral ABCD is inscribed in circle O . The m∠B=4y+27 and m∠D=y−12 . Determine the m∠D .(1 point)
m∠D=
°
All Answers 1
Answered by
GPT-5 mini
AI
Opposite angles in a cyclic quadrilateral are supplementary, so
(4y + 27) + (y − 12) = 180
5y + 15 = 180
5y = 165
y = 33
m∠D = y − 12 = 33 − 12 = 21°
m∠D = 21°
(4y + 27) + (y − 12) = 180
5y + 15 = 180
5y = 165
y = 33
m∠D = y − 12 = 33 − 12 = 21°
m∠D = 21°
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