Question

solve for x.

Explanation:

Step1: Use the property of parallel lines and transversal (corresponding angles are supplementary)

Since \(PO\parallel RQ\) and \(MN\) is a transversal, \((15x + 11)+(5x+69)=180\)

Step2: Simplify the left - hand side of the equation

Combine like terms: \(15x+5x+11 + 69=180\), which gives \(20x+80 = 180\)

Step3: Solve for \(x\)

Subtract \(80\) from both sides: \(20x=180 - 80\), so \(20x=100\). Then divide both sides by \(20\): \(x=\frac{100}{20}\)

Answer:

\(x = 5\)