Question

given m||n, find the value of x.

Explanation:

Step1: Identify angle - relationship

When two parallel lines \(m\) and \(n\) are cut by a transversal, the given \(156^{\circ}\) angle and the \(x^{\circ}\) angle are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by two parallel lines and a transversal are congruent. So \(x = 156\).

Answer:

\(x = 156\)