Question

find the measure of the missing angles.
answer attempt 2 out of 3
$x=square^{circ}$ $y=square^{circ}$

Explanation:

Step1: Find the value of \(x\)

We know that \(x + 28^{\circ}=90^{\circ}\) (complementary angles).
So, \(x=90^{\circ}- 28^{\circ}\)
\(x = 62^{\circ}\)

Step2: Find the value of \(y\)

We know that \(x + y+90^{\circ}=180^{\circ}\) (supplementary angles).
Since \(x = 62^{\circ}\), then \(62^{\circ}+y + 90^{\circ}=180^{\circ}\)
\(y+152^{\circ}=180^{\circ}\)
\(y=180^{\circ}-152^{\circ}\)
\(y = 28^{\circ}\)

Answer:

\(x = 62^{\circ}\), \(y = 28^{\circ}\)