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​ Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle C? Please explain how you got the answer.
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​ Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle C?

Please explain how you got the answer.

​ Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle C-example-1
User Theotherdy
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2 Answers

4 votes
Consider this option:
1. using the property of the inscribed quadrilateral it is possible to make up the system of linear equations:
2.

\left \{ {{A+C=180} \atop {B+D=180}} \right. \ =\ \textgreater \ \ \left \{ {{2x+3+C=180} \atop {3x+9+2x-4=180}} \right. \ =\ \textgreater \ \ \left \{ {{C=107} \atop {x=35}} \right.

answer: 107°
User Dsymonds
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8.1k points
2 votes
The answer is as follows:
​ Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle C-example-1
User Glyoko
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7.6k points
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