Question

find the measure of the missing angles

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(x\) and the \(59^{\circ}\) angle are vertical angles. So \(x = 59^{\circ}\).

Step2: Use linear - pair property

The \(59^{\circ}\) angle and angle \(y\) form a linear pair. A linear pair of angles sums to \(180^{\circ}\). So \(y=180 - 59\).
\(y = 121^{\circ}\)

Answer:

\(x = 59\), \(y = 121\)