Quadrilateral abcd is inscribed in a circle such that m∠a=(x2+50)∘ and m∠c=(12x+45)∘ .

what is m∠c ?

enter your answer in the box.

plz explain what was done to get the answer

105 degrees

Explanation: In a quadrilateral that is inscribed in a circle, the opposite angles are supplementary. Since angle A and angle C are opposite angles, they are supplementary. In terms of equation,



Note that if x = -17, 



which is not valid because angle measure is not negative.

So, x = 5. Hence,