Question

find the measure of the missing angles.
answer
attempt 1 out of 3
$x = square^{circ}$ $y = square^{circ}$

Explanation:

Step1: Find the value of \( x \)

Since \( x + 53^{\circ}=90^{\circ}\) (complementary angles), then \( x = 90^{\circ}-53^{\circ}\).

Step2: Calculate \( x \)

\( x=37^{\circ}\).

Step3: Find the value of \( y \)

Since \( y + x=180^{\circ}\) (supplementary angles), and \( x = 37^{\circ}\), then \( y=180^{\circ}-x\).

Step4: Calculate \( y \)

\( y = 180^{\circ}-37^{\circ}=143^{\circ}\).

Answer:

\( x = 37^{\circ}\), \( y = 143^{\circ}\)