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 angle of \(85^{\circ}\) and the angle \(x^{\circ}\) are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So \(x = 85\).

Answer:

85