Question

answer attempt 1 out of 3
$x=$ submit answer

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines \(m\) and \(n\) are cut by a transversal \(t\), consecutive interior angles are supplementary. So, \((2x - 2)+(4x + 2)=180\).

Step2: Simplify the equation

Combine like - terms: \(2x-2 + 4x+2=180\). The \(-2\) and \(+2\) cancel out, and we get \(6x=180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(6x = 180\) by \(6\), \(x=\frac{180}{6}\).

Answer:

\(x = 30\)