Question

given ( mparallel n ), find the value of ( x ).
answer attempt 2 out of 2
( x=)

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, the sum of same - side interior angles is \(180^{\circ}\). So, \((2x - 2)+(4x + 2)=180\).

Step2: Simplify the equation

Combine like terms: \(2x-2 + 4x+2=180\), which simplifies to \(6x=180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(6x = 180\) by \(6\), we get \(x=\frac{180}{6}=30\).

Answer:

\(x = 30\)