Question

an angle measures 24° less than the measure of its complementary angle. what is the measure of each angle?

and

Explanation:

Step1: Set up the equation

Let the measure of one angle be \(x\). Then the measure of its complementary angle is \(90 - x\). Given that one angle measures \(24^{\circ}\) less than its complementary angle, so \(x=(90 - x)-24\).

Step2: Solve the equation for \(x\)

$$
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$$

Step3: Find the measure of the complementary angle

The complementary angle is \(90 - x\). Substitute \(x = 33\) into it, \(90-33 = 57\)

Answer:

\(33\) and \(57\)