Question

given ( m parallel 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, \(2x - 4=3x - 12\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(-4=x - 12\).
Add \(12\) to both sides: \(x=- 4 + 12\).

Answer:

\(x = 8\)