Given data:
The given trapezium is shown.
The expression for the mid-segment of the trapezium is,
[tex]\begin{gathered} WZ=\frac{UV+ST}{2} \\ (7x+8)=\frac{(8x-1)+(10x+5)}{2} \\ 14x+16=18x+4 \\ -4x=-12 \\ x=3 \end{gathered}[/tex]
Thus, the value of x is 3.
