Question

solve for x.
x =

Explanation:

Step1: Use the property of supplementary angles

Since \( \angle ORS\) and \( \angle QSR\) are supplementary (because \(NO\parallel PQ\) and \(LM\) is a transversal, consecutive - interior angles are supplementary), we have the equation \((8x + 11)+73=180\).

Step2: Simplify the left - hand side of the equation

First, combine like terms: \(8x+(11 + 73)=180\), which simplifies to \(8x+84 = 180\).

Step3: Solve for \(x\)

Subtract 84 from both sides of the equation: \(8x=180 - 84\). So, \(8x=96\). Then divide both sides by 8: \(x=\frac{96}{8}\).

Answer:

\(x = 12\)