Question

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

Explanation:

Step1: Find \(x\)

Since \(x\) and \(24^{\circ}\) are complementary angles (they form a right - angle, \(90^{\circ}\)).
\(x = 90^{\circ}-24^{\circ}\)

Step2: Find \(y\)

Since \(x + y=180^{\circ}-90^{\circ}=90^{\circ}\) (the sum of angles on a straight line is \(180^{\circ}\), and we subtract the right - angle \(90^{\circ}\)). First, we know \(x = 66^{\circ}\), then \(y=90^{\circ}-x\). Substitute \(x = 66^{\circ}\) into the equation, \(y = 90^{\circ}-66^{\circ}\)

Answer:

\(x = 66^{\circ}\), \(y = 24^{\circ}\)