Question

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

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 for right - angle

The right - angle is $90^{\circ}$. The sum of the angles $y$, $51^{\circ}$ and the right - angle is $180^{\circ}$. So $y+51^{\circ}+90^{\circ}=180^{\circ}$, then $y=180^{\circ}-90^{\circ}-51^{\circ}=39^{\circ}$.

Answer:

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