Question

student belcher, cash
properties of parallelograms
solve for the unknown
variable (x).
answer: round to whatever you
see in the problem.

Explanation:

Step1: Use the property of parallelograms

In a parallelogram, opposite sides are equal. So, \(3x + 9=63\) (assuming the side opposite to \(3x + 9\) is \(63\) as the angle \(45^{\circ}\) is given and in a parallelogram with one angle \(45^{\circ}\), if we assume the side - length relationship based on standard parallelogram properties where adjacent sides are not relevant for this equation (since opposite sides are equal property is used)).

Step2: Solve the linear equation

Subtract \(9\) from both sides: \(3x=63 - 9\), so \(3x = 54\).
Divide both sides by \(3\): \(x=\frac{54}{3}=18\).

Answer:

$18$