Question

below are two parallel lines with a third line intersecting them.

Explanation:

Step1: Recall angle - property

When two parallel lines are intersected by a transversal, vertical - angles are equal. The angle of \(93^{\circ}\) and the angle adjacent to \(x\) are vertical - angles, so the angle adjacent to \(x\) is \(93^{\circ}\).

Step2: Use angle - sum property

Since \(x\) and the \(93^{\circ}\) angle are supplementary (a straight - line has an angle measure of \(180^{\circ}\)), we have \(x + 93^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(93^{\circ}\) from both sides of the equation: \(x=180^{\circ}-93^{\circ}\).

Answer:

\(87^{\circ}\)