Question

the measure of an angle is 58.4°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°.

Step2: Set up the equation

Let the angle be \(x = 58.4^{\circ}\), and its complement be \(y\). Then \(x + y=90^{\circ}\).

Step3: Solve for the complement

\(y = 90^{\circ}-x=90^{\circ}- 58.4^{\circ}=31.6^{\circ}\)

Answer:

\(31.6^{\circ}\)