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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.

 Dec 2, 2024
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\(XZW \) will form a triangle \(\triangle XZW \)

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

 

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

 

Thanks! :)

 Dec 2, 2024
edited by NotThatSmart  Dec 2, 2024

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