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Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$.  In this trapezoid, $\angle ZXW = 90^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$.  Find $\angle XZW$, in degrees.

 Aug 23, 2024
 #1
avatar+1952 
+1

First, let's note that XZW  will form a triangle

 

From the problem, we have that 

ZXW=90XWZ=60

 

Thus, we can easily find XZW since it's the last angle in the triangle. 

So XZW=1809060=30

 

Thanks! :)

 Aug 23, 2024
edited by NotThatSmart  Aug 23, 2024

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