Question

the measure of an angle is 52.2°. what is the measure of its complementary angle?

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles add up to \(90^{\circ}\). Let the measure of the complementary angle be \(x\).

Step2: Set up the equation

If one angle is \(52.2^{\circ}\), then \(x + 52.2^{\circ}=90^{\circ}\).

Step3: Solve for \(x\)

\(x=90^{\circ}- 52.2^{\circ}\)
\(x = 37.8^{\circ}\)

Answer:

\(37.8\)