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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 23, 2024
 #1
avatar+1075 
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Let's note something really important first. 

Note that XZW forms a triangle!

 

Thus, we have

\(\angle ZXW = 90\\ \angle XWZ = 60 \)

 

Thus, \(\angle XZW = 180 - 90 - 60 = 30\)

 

So our answer is 30. 

 

Thanks! :)

 Jun 23, 2024

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