Question

an angle measures 74° less than the measure of its complementary angle. what is the measure of each angle?

Explanation:

Step1: Define the angles

Let one angle be \(x\). Then its complementary angle is \(90 - x\).

Step2: Set up the equation

Given that one angle measures \(74^{\circ}\) less than its complementary angle. So \(x=(90 - x)-74\).

Step3: Solve the equation

$$
LATEXBLOCK0
$$

Step4: Find the complementary angle

The complementary angle is \(90 - x=90 - 8 = 82\)

Answer:

\(8^{\circ}\) and \(82^{\circ}\)