Note: Consider J is the intersection point of diagonals of quadrilateral FGHI.
Given:


To find:
The value of a that makes quadrilateral FGHI a parallelogram.
Solution:
We know that the diagonals of a parallelogram bisect each other.
If FGHI is a parallelogram and J is the intersection point of diagonals, then




Divide both sides by 10.


Therefore, the required value of a is 1 units.