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Pentagon ABCDE is inscribed in a circle.  Given the angles shown, find x and y.

 

 May 18, 2020
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I started off with a 130° angle. 

 

 ∠B = 95°          ∠D = 138°          95+138 = 100%

 

 ∠B = 40.77253219%      and       ∠D = 59.22746781%

 

The ratio of angles =>      B : D =  ∠BCO : ∠DCO

 

Therefore:  ∠BCO = 53.00429185°     and     ∠DCO = 130° - ∠BCO = 76.99570815°

 

∠X = 78.99570815º               ∠Y = 98.00429185º  indecision

 

 

 May 19, 2020
edited by Dragan  May 19, 2020
edited by Dragan  May 19, 2020
edited by Dragan  May 19, 2020
edited by Dragan  May 19, 2020
edited by Dragan  May 20, 2020

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