Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), \(x\) and the \(38^{\circ}\) angle are alternate - interior angles.

Step2: Apply alternate - interior angles property

Alternate - interior angles formed by two parallel lines and a transversal are congruent. So \(x = 38\).

Answer:

38