Question

find the measure of the missing angles.
answer attempt 1 out of 2
x = \square^\circ \quad y = \square^\circ

Explanation:

Step1: Calculate angle $x$

The vertical line forms a right angle ($90^\circ$) with the horizontal line. Subtract the given $38^\circ$ from $90^\circ$:
$x = 90^\circ - 38^\circ = 52^\circ$

Step2: Calculate angle $y$

Angle $y$ and the $38^\circ$ angle are complementary (they form a right angle with the vertical line). Subtract $x$ from $90^\circ$:
$y = 90^\circ - 52^\circ = 38^\circ$

Answer:

$x = 52^\circ$
$y = 38^\circ$