Question

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

Explanation:

Step1: Recall property of parallelograms

In a parallelogram, consecutive angles are supplementary. So \(\angle Q+\angle R = 180^{\circ}\). But also, in a parallelogram, opposite sides are equal. \(RS = QT\).

Step2: Set up the equation

Since \(RS=15 + 8x\) and \(QT = 95\) (assuming \(QT\) is equal to \(RS\) as per parallelogram property of opposite sides being equal). We set up the equation \(15+8x=95\).

Step3: Solve the equation

Subtract \(15\) from both sides: \(8x=95 - 15\). So \(8x=80\).
Divide both sides by \(8\): \(x=\frac{80}{8}=10\).

Answer:

\(x = 10\)