Question

find the measure of the missing angles. answer attempt 1 out of 2 x = y = 30

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Since the given angle of $30^{\circ}$ and $y$ are vertical angles, $y = 30^{\circ}$.

Step2: Use angle - sum property for right - angle

The right - angle is $90^{\circ}$. The sum of the angles $x$ and $y$ is $90^{\circ}$. We know $y = 30^{\circ}$, so $x+30^{\circ}=90^{\circ}$.

Step3: Solve for $x$

Subtract $30^{\circ}$ from both sides of the equation $x + 30^{\circ}=90^{\circ}$. We get $x=90^{\circ}-30^{\circ}=60^{\circ}$.

Answer:

$x = 60$
$y = 30$