Question

what is the value of x?

x=

85°

85°

Explanation:

Step1: Identify the relationship between angles

Since the two angles with measure \(85^{\circ}\) are corresponding angles (due to the parallel lines and transversal), and \(x\) and the \(85^{\circ}\) angle (on the left - hand side) are vertical angles.

Step2: Use the vertical - angle theorem

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

Answer:

\(85\)