Quadrilateral RSTU is a parallelogram. What must be the value of x?

In this question, the given quadrilateral is a parallelogram. And in a parallelogram, diagonals bisects each other. Therefore,
the parts of the diagonal with lengths
[tex]x-3 \ and \ 3x-13[/tex]
have to be equal. That is
[tex]x-3=3x-13 \\ -3+13 = 3x-x \\ 10 =2x \\ x =5[/tex]
So out of the given options, correct option is the third option .