Question

the measure of an angle is 72°. 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

We know that \(x + 72^{\circ}=90^{\circ}\).

Step3: Solve for \(x\)

Subtract \(72^{\circ}\) from both sides of the equation: \(x=90^{\circ}-72^{\circ}\).

$$x = 18^{\circ}$$

Answer:

\(18^{\circ}\)