Question

find the value of x if the lines are parallel.

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. So, \((3x + 24)+x=180\).

Step2: Simplify the equation

Combine like terms: \(4x+24 = 180\).

Step3: Solve for \(x\)

Subtract 24 from both sides: \(4x=180 - 24\), so \(4x=156\).
Divide both sides by 4: \(x=\frac{156}{4}=39\).

Answer:

\(x = 39\)