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

Solution:

Given quadrilateral is a parallelogram RSTU.

We have to find the value of x.

We know that in a parallelogram, the diagonals bisect each other

Hence, they are divided into 2 equal halves.

This implies that V is the midpoint of  US.

UV = SV

x - 3 = 3x - 13

On shifting the terms, we get

13 - 3 = 3x - x

2x = 10

x = 5

Therefore, the value of x is 5.

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

Summary:

Quadrilateral RSTU is a parallelogram,the value of x must be 5.