Question

find the measure of the missing angles. answer attempt 2 out of 5 x = y =

Explanation:

Step1: Use vertical - angle property for x

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

Step2: Use angle - sum property for y

The sum of angles around a point is 360°. There is a right - angle (90°), the 32° angle, and we want to find y. Also, since x = 32°, we know that $y+90^{\circ}+32^{\circ}+32^{\circ}=360^{\circ}$. Simplifying, $y + 154^{\circ}=360^{\circ}$, so $y=360^{\circ}-154^{\circ}=206^{\circ}$. But if we consider the non - reflex angle, the angle adjacent to y and the right - angle and 32° angle forms a straight - line (180°). So $y = 180^{\circ}-32^{\circ}=148^{\circ}$.

Answer:

$x = 32$
$y = 148$