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​ Quadrilateral ABCD ​ is inscribed in this circle.

 

What is the measure of angle B?

 

Guest Feb 23, 2018
 #1
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Opposite angles in a cyclic quadrilateral are supplementary....so....

 

x  + 4x  - 20  = 180     add 20 to each side

 

5x  = 200     divide both sides by 5

 

x  = 40°

 

So....angle B  =  (4(40) - 20)  =  160  - 20   =  140°

 

 

cool cool cool

CPhill  Feb 23, 2018

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