Question

find the measure of the missing angles.
answer attempt 2 out of 2
$x = 51^{circ}$ $y = 39^{circ}$

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $x$ and the $51^{\circ}$ angle are vertical angles, so $x = 51^{\circ}$.

Step2: Use angle - sum property

The right - angle and the angles $y$ and $51^{\circ}$ are on a straight line. A straight line has an angle measure of $180^{\circ}$, and the right - angle is $90^{\circ}$. So $y=180^{\circ}-90^{\circ}-51^{\circ}=39^{\circ}$.

Answer:

$x = 51^{\circ}$, $y = 39^{\circ}$