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In the cyclic quadrilateral WXYZ on the circle centered at O, ∠ZYW=10∘ and ∠YOW=100∘.  What is the measure of ∠YWZ?

 

 Jul 3, 2020
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In the cyclic quadrilateral WXYZ on the circle centered at O, ∠ZYW=10º and ∠YOW=100º.  What is the measure of ∠YWZ?

 

When the quadrilateral is inscribed in a circle, the sum of the opposite angles is 180º.

 

If ∠YOW=100º then ∠WXY = 50º

 

If ∠WXY = 50º then the opposite angle (∠YWZ) must be 130º.  wink

 Jul 3, 2020

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