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properties of parallelograms solve for the unknown variable (x). answer…

Question

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

Explanation:

Step1: Use property of parallelogram

In a parallelogram, opposite angles are equal and consecutive angles are supplementary. Here, \(\angle Q+\angle R = 180^{\circ}\) (consecutive angles). But also, \(RS = QT\) (opposite sides of a parallelogram are equal). Assume \(RS = QT\), and if \(RS=15 + 8x\) and \(QT\) (assuming a value, if we assume \(QT = 95\) is wrong, wait, no, wait, if it's a parallelogram \(RS=QT\), but no, wait, no, in a parallelogram \(RS = QT\) (opposite sides). Wait, no, hold on, maybe it's a typo. Wait, in a parallelogram \(RS\parallel QT\) and \(RQ\parallel ST\). Wait, no, the formula for opposite sides of a parallelogram: \(RS = QT\) and \(RQ=ST\). But if we assume \(RS = 95\) (maybe the side length, if it's a rhombus - no, no, wait, no, the problem is to solve for \(x\) in \(15+8x\). If we assume that \(15 + 8x=95\) (maybe wrong interpretation, but given the problem).

Step2: Solve the equation

$$ LATEXBLOCK0 $$

Answer:

\(x = 10\)