32. For what value of x is the figure the given parallelogram? Justify your answer.

Answer:
At x = 4
Step-by-step explanation:
Assume the figure is a parallelogram - opposite angles of a parallelogram are equal and adjacent angles add up to 180°
one of its angles is 90°. Therefore the opposite angle is also 90°, the adjacent angles are 180-90 = 90° each and the parallelogram becomes a rectangle
In a rectangle, the diagonals are equal and bisect each other
Since the diagonals are equal and bisect each other
2x - 1 = x + 3
Subtract x from both sides:
2x - x - 1 = x - x + 3
x - 1 = 3
Add 1 both sides
x - 1 + 1 = 3 + 1
x = 4
Therefore at x = 4, the given figure becomes a parallelogram, specifically a rectangle