Question

solve for x.

x =

Explanation:

Step1: Use the property of same - side exterior angles

When two parallel lines are cut by a transversal, same - side exterior angles are supplementary. So, \((9x + 39)+(11x + 61)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((9x+11x)+(39 + 61)=180\), which gives \(20x+100 = 180\).

Step3: Solve for \(x\)

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

Answer:

\(x = 4\)