Question

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

Explanation:

Step1: Use right - angle property

Since the angle formed by the vertical and horizontal lines is a right - angle ($90^{\circ}$), and one part of it is $28^{\circ}$, for angle $x$, we have $x + 28^{\circ}=90^{\circ}$. So, $x=90^{\circ}-28^{\circ}$.
$x = 62^{\circ}$

Step2: Use straight - angle property

The horizontal line forms a straight - angle ($180^{\circ}$). We know one part of the straight - angle is $x = 62^{\circ}$ and the right - angle part is $90^{\circ}$. So for angle $y$, we have $y+x + 90^{\circ}=180^{\circ}$. Substitute $x = 62^{\circ}$ into the equation: $y+62^{\circ}+90^{\circ}=180^{\circ}$, then $y=180^{\circ}-90^{\circ}-62^{\circ}$.
$y = 28^{\circ}$

Answer:

$x = 62$
$y = 28$