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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.

 Sep 4, 2024
 #1
avatar+280 
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No answer. 

 Sep 4, 2024
edited by BRAINBOLT  Sep 4, 2024
 #2
avatar+1853 
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If angle XWZ = 60°, angle WXY = 180° - 60° = 120° because XY and WZ are parallels.

However, this means that Angle ZXW must be less than 120°.

 

In the problem though, it clearly defines ZXW as 120, meaning this problem is invalid. 

 

Thanks! :)

 Sep 4, 2024
edited by NotThatSmart  Sep 4, 2024

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