Question

given ( mparallel 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 \(t\), alternate interior angles are equal.

Step2: Set up the equation

Here, \(x\) and \(57^{\circ}\) are alternate interior angles. So \(x = 57\)

Answer:

\(x = 57\)