Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the \(85^{\circ}\) angle and the angle with measure \(x^{\circ}\) are vertical angles.

Step2: Apply vertical - angle property

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

Answer:

85