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​ Quadrilateral ABCD ​ is inscribed in this circle.



What is the measure of angle C?

Enter your answer in the box.

Quadrilateral ABCD is inscribed in this circle What is the measure of angle C Enter your answer in the box class=

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sqdancefan
Angles B and D are supplementary. That fact can be used to find x.
.. (3x +9) +(2x -4) = 180
.. 5x +5 = 180
.. x = 175/5 = 35

Then ∠A = (2*35 +3)° = 73°. That is supplementary to ∠C, so
.. ∠C = 180° -73° = 107°