Question

find the measure of the missing angles. answer x = y =

Explanation:

Step1: Use right - angle property

Since the angle is a right - angle (90°), and one part of it is 35°, for angle $x$, we have $x + 35^{\circ}=90^{\circ}$. So, $x=90^{\circ}-35^{\circ}$.

Step2: Calculate $x$

$x = 55^{\circ}$

Step3: Use straight - angle property

The straight - angle is 180°. We know one part of the straight - angle is $x = 55^{\circ}$ and the right - angle part (90°). For angle $y$, we have $y+55^{\circ}+90^{\circ}=180^{\circ}$, so $y=180^{\circ}-(55^{\circ}+90^{\circ})$.

Step4: Calculate $y$

$y = 35^{\circ}$

Answer:

$x = 55$
$y = 35$