Question

question find the measure of the missing angles. answer x = y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $x$ and the $32^{\circ}$ angle are vertical angles. So $x = 32^{\circ}$.

Step2: Use angle - sum property of a straight - line

The sum of angles on a straight - line is $180^{\circ}$. We know one angle is $90^{\circ}$ and another is $32^{\circ}$. So $y=180-(90 + 32)$.
$y=180 - 122=58^{\circ}$

Answer:

$x = 32^{\circ}$, $y = 58^{\circ}$