Question

given ( m parallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of alternate interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, alternate interior angles are equal.

Step2: Set up the equation

Here, \(x = 118\) (since the angle of \(118^{\circ}\) and \(x^{\circ}\) are alternate interior angles for parallel lines \(m\) and \(n\) cut by the transversal)

Answer:

\(x = 118\)