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Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

 Jun 8, 2024
 #1
avatar+806 
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Let's note something important really quickly. 

 

If we have \(XWZ = 60°\), then we must have \( WXY = 180° - 60° = 120°\) since XY and WZ are parralels. 

\(\angle ZXW\) has to be less than 120 degrees, but in the problem, it clearly states it is 120 degrees. 

 

This is an invalid statement, so therefore, this problem is not solvable. 

 

Thanks! :)

 Jun 8, 2024

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