Question

find the measure of the missing angles.
answer attempt 1 out of 2
$x = square^{circ}$ $y = square^{circ}$

Explanation:

Step1: Find the value of \(x\)

Since \(x\) and \(24^{\circ}\) are complementary angles (they add up to \(90^{\circ}\)).
\(x = 90^{\circ}-24^{\circ}\)

Step2: Find the value of \(y\)

The sum of angles around a point on a straight line is \(180^{\circ}\). The right - angle is \(90^{\circ}\), and we know \(x = 66^{\circ}\). So \(y=180^{\circ}-90^{\circ}-x\). Substitute \(x = 66^{\circ}\) into the formula: \(y=180^{\circ}-90^{\circ}-66^{\circ}\)

Answer:

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