Answer:
The length of WX is 31 units.(third option)
Step-by-step explanation:
Given that In trapezoid WXYZ, WX║ZY and S and T are the mid points of the sides WZ and XY. We have to find the length of WX.
By trapezoid mid-segment Property,
A mid-segment of a trapezoid join the midpoints of the two non-parallel sides of trapezoid. The length of the mid-segment is the average of the lengths of the two bases and is parallel to the bases of the trapezoid.
∴ [tex]ST=\frac{WX+ZY}{2}[/tex]
⇒ [tex]48=\frac{WX+65}{2}[/tex]
⇒ [tex]96=WX+65[/tex]
⇒ [tex]WX=96-65=31[/tex]
The length of WX is 31 units.(third option)
