Asked by Mark
A)
Quadrilateral
is inscribed in circle
. The
and
.Determine the
.
(1 point)
ABCD O m∠B = 4y + 27 m∠D = y − 12
m∠D
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.
Solve: 5y + 15 = 180 → 5y = 165 → y = 33.
Thus m∠D = y − 12 = 33 − 12 = 21°.
Answer: 21°.
(4y + 27) + (y − 12) = 180.
Solve: 5y + 15 = 180 → 5y = 165 → y = 33.
Thus m∠D = y − 12 = 33 − 12 = 21°.
Answer: 21°.
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