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, \(x - 4=2x+4\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(-4=x + 4\).
Subtract \(4\) from both sides: \(x=-8\).

Answer:

\(x = - 8\)