find the value of x if the lines are parallel.

Answer:

(x = 39)

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).