Question

two angles are complementary to each other. if one angle measures 23.28°, what is the degree measure of the other angle? 156.72° 66.72° 46.56° 23.28°

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles sum to \(90^{\circ}\).

Step2: Set up the equation

Let the unknown angle be \(x\). Then \(x + 23.28^{\circ}=90^{\circ}\).

Step3: Solve for \(x\)

\(x=90^{\circ}- 23.28^{\circ}\)
\(x = 66.72^{\circ}\)

Answer:

\(66.72^{\circ}\)