Question

solve for x.

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines are cut by a transversal, same - side interior angles are supplementary. That is, \((x + 120)+9x=180\)

Step2: Simplify the equation

Combine like terms: \(x+9x+120 = 180\), so \(10x+120=180\)

Step3: Solve for \(x\)

Subtract 120 from both sides: \(10x=180 - 120\), \(10x=60\). Then divide both sides by 10: \(x=\frac{60}{10}=6\)

Answer:

\(6\)