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 \(180^{\circ}\).
Let the angle of \(118^{\circ}\) and \(x^{\circ}\) be same - side interior angles. So, \(118 + x=180\).

Step2: Solve the equation for \(x\)

Subtract \(118\) from both sides of the equation \(118 + x=180\).
\(x=180 - 118\).
\(x = 62\).

Answer:

\(x = 62\)