Question

given ( mparallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the alternate interior angles are equal. So, \(2x - 2=4x + 2\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(-2 = 2x+2\).
Subtract \(2\) from both sides: \(-4 = 2x\).
Divide both sides by \(2\): \(x=-2\).

Answer:

\(x = - 2\)