Question

the measure of an angle is 60°. 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 given angle be \(A = 60^{\circ}\) and its complementary angle be \(B\). Then \(A + B=90^{\circ}\).

Step2: Solve for \(B\)

Substitute \(A = 60^{\circ}\) into the equation \(A + B = 90^{\circ}\). We get \(B=90^{\circ}-A\).

$$B = 90^{\circ}-60^{\circ}$$

$$B = 30^{\circ}$$

Answer:

\(30\)