Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the \(40^{\circ}\) angle and the angle with measure \(x^{\circ}\) are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So \(x = 40\).

Answer:

\(x = 40\)