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Quadrilateral ABCD ​ is inscribed in circle O. 

What is ​ m∠C ​ ?


Guest Mar 21, 2017
 #1
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m∠B + m∠D = 180º

Substitute.

(2x + 3) + (4x + 3) = 180º

Combine like terms.

6x + 6 = 180

6x = 174

x = 29

 

Now that we know what x is, we can find m∠C

m∠C = 2x + 1

m∠C = 2(29) + 1

m∠C = 58 + 1

m∠C = 59º

hectictar  Mar 21, 2017

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