YWXZ is a parallelogram with diagonals that intersect at point S. If YS = 34 and SX = 2x – 10, find x.

**Solution:-**

In a parallelogram the diagonals bisect each other.

So YS = SX and WS = SZ.

YS = 34 , and SX = 2x – 10

Put the given value in YS = SX

34 = 2x – 10 =>2x = 34 + 10

2x = 44 => x = 22

So the value of x = 22