Question

question find the measure of the missing angles. answer attempt 1 out of 2 x = o y = o

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Since the angle of $32^{\circ}$ and angle $x$ are vertical angles, $x = 32^{\circ}$.

Step2: Use angle - sum property

The sum of angles on a straight - line is $180^{\circ}$. We know one angle is $32^{\circ}$ and another is a right - angle ($90^{\circ}$). So, $y+32^{\circ}+90^{\circ}=180^{\circ}$. Then $y = 180^{\circ}-(32^{\circ}+90^{\circ})=180^{\circ}-122^{\circ}=58^{\circ}$. But if we consider the non - adjacent angle to the combination of $32^{\circ}$ and $90^{\circ}$ on the straight - line, we have $y = 180^{\circ}- 58^{\circ}=122^{\circ}$.

Answer:

$x = 32^{\circ}$
$y = 122^{\circ}$