Question

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

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the sum of same - side interior angles is \(180^{\circ}\). So, \(108^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

Subtract \(108\) from both sides of the equation \(108 + x=180\). We get \(x = 180-108\).

Answer:

\(x = 72\)