Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the \(118^{\circ}\) angle and the angle with measure \(x^{\circ}\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are congruent.

Step2: Set up the equation

We have \(x = 118\) because corresponding - angles are equal.

Answer:

118