+0  
 
0
1
1
avatar+506 

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+935 
+1

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

5 Online Users

avatar
avatar
avatar
avatar
avatar