Question

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

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $x$ and the $55^{\circ}$ angle are vertical angles. So $x = 55^{\circ}$.

Step2: Use angle - sum property for a straight - line

The sum of angles on a straight - line is $180^{\circ}$. We know one angle is $90^{\circ}$ and another is $55^{\circ}$. So $y+90^{\circ}+55^{\circ}=180^{\circ}$, then $y=180^{\circ}-90^{\circ}-55^{\circ}=35^{\circ}$.

Answer:

$x = 55^{\circ}$, $y = 35^{\circ}$