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avatar+1839 

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.

 Oct 19, 2024
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avatar+1897 
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Let's know that XZW will form a triangle

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

 

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

 

30 degrees is our answer. 

 

Thanks! :)

 Oct 19, 2024
edited by NotThatSmart  Oct 19, 2024

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