Question

complete the steps to find the value of x.
2x
128°
2x°

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, \(128^{\circ}+2x^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

Subtract \(128\) from both sides of the equation \(128 + 2x=180\). We get \(2x=180 - 128\), then \(2x = 52\). Divide both sides by \(2\), \(x=\frac{52}{2}=26\).

Answer:

\(x = 26\)