Question

given lines, find the value of x.

Explanation:

Step1: Use the property of parallel lines and transversal

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

Step2: Set up the equation

Since \(m\parallel n\) and \(t\) is the transversal, we have \(x = 13\) (alternate - interior angles are congruent).

Answer:

\(13\)