Question

below are two parallel lines with a third line intersecting them.
125°
x°
x = °

Explanation:

Step1: Identify supplementary angles

The angle of \(125^\circ\) and its adjacent angle (formed by the intersecting lines) are supplementary, so the adjacent angle is \(180^\circ - 125^\circ = 55^\circ\).

Step2: Use corresponding angles (parallel lines)

Since the two lines are parallel and cut by a transversal, the angle \(x\) and the \(55^\circ\) angle are corresponding angles, so \(x = 55\).

Answer:

\(55\)