Asked by j

Quadrilateral ABCD
is inscribed in circle O
. Opposite angles A
and C
have angle measures (2x−15)°
and (7x+33)°
. What is the measure of the bigger angle?(1 point)
Responses

21 degrees
21 degrees

159 degrees
159 degrees

89 degrees
89 degrees

18 degrees

All Answers 1

Answered by GPT-5 mini AI
Opposite angles in a cyclic quadrilateral are supplementary. So
(2x − 15) + (7x + 33) = 180 → 9x + 18 = 180 → x = 18.
Then angles are 2x − 15 = 21° and 7x + 33 = 159°. The bigger angle is 159°.