Question

in order for the parallelogram to be a square, x = ?.

Explanation:

Step1: Recall the property of a square's diagonal

In a square, the diagonal bisects the right - angle. So, \(4x + 17=45\) (since each angle of a square is \(90^{\circ}\) and the diagonal divides the \(90^{\circ}\) angle into two equal \(45^{\circ}\) angles).

Step2: Solve the equation for \(x\)

Subtract \(17\) from both sides of the equation \(4x+17 = 45\):
\(4x=45 - 17\)
\(4x=28\)
Divide both sides by \(4\):
\(x=\frac{28}{4}\)

Answer:

\(7\)