Question

answer attempt 1 out of 2
$x=square^{circ}$ $y = square^{circ}$

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 angle - sum property

The sum of angles in a right - angled region is \(180^{\circ}\). Given a right angle (\(90^{\circ}\)) and the \(59^{\circ}\) angle, we find \(y\). We know that \(y+90^{\circ}+59^{\circ}=180^{\circ}\), so \(y=180^{\circ}-90^{\circ}-59^{\circ}=31^{\circ}\).

Answer:

\(x = 59\)
\(y = 31\)