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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
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avatar+1858 
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First, let's note that XZW  will form a triangle

 

From the problem, we have that 

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

 

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

So \(\angle XZW =  180 - 90 - 60  =   30^\circ\)

 

Thanks! :)

 Aug 23, 2024
edited by NotThatSmart  Aug 23, 2024

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