Question

the measure of an angle is 64°. 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 \(x\). Then \(x + 64^{\circ}=90^{\circ}\).

Step2: Solve for \(x\)

Subtract \(64^{\circ}\) from both sides of the equation: \(x=90^{\circ}-64^{\circ}\).

$$x = 26^{\circ}$$

Answer:

\(26\)