Question

find the measure of the missing angles.
answer attempt 2 out of 2
x = \square^\circ \quad y = \square^\circ

Explanation:

Step1: Calculate angle $x$

The vertical line and horizontal line form a right angle ($90^\circ$). The sum of $x$, $28^\circ$, and the right angle is $180^\circ$ (straight line).
$$x + 28^\circ + 90^\circ = 180^\circ$$
$$x = 180^\circ - 90^\circ - 28^\circ = 62^\circ$$

Step2: Calculate angle $y$

Angles $y$, $x$, and the right angle form a straight line ($180^\circ$).
$$y + x + 90^\circ = 180^\circ$$
Substitute $x=62^\circ$:
$$y = 180^\circ - 90^\circ - 62^\circ = 28^\circ$$

Answer:

$x = 62^\circ$
$y = 28^\circ$