Question

PLEASE HELP!! BRAINLIEST ANSWER AND FASTEST ANSWER GETS TON OF FREE POINTS...MATH WHIZZES, HELP ME OUT. FORGOT HOW TO DO THIS.

Quadrilateral ABCD ​ is inscribed in this circle.



What is the measure of angle C?

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Answer 1

Inscribed angles equal half of their arc length. So <D+ <B = 180
substitute: x+24+x+10 = 180 
solve: 2x + 34 = 180
2x= 146
x= 73
NOw find the measure of angle A:
<a = x + 15
<a = 73 + 15
<a = 88
 Now to find <C
<C = 180- 88
<C = 92
Hope this helps!