Question

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

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), consecutive interior angles are supplementary. That is, the sum of the two angles is \(180^{\circ}\).
So, \(118^{\circ}+x^{\circ}=180^{\circ}\)

Step2: Solve for \(x\)

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

Answer:

\(62\)