Question

the measure of an angle is 22°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°. Let the given angle be \(a = 22^{\circ}\) and the complementary angle be \(x\). Then \(a + x=90^{\circ}\).

Step2: Solve for the complementary angle

We can rewrite the equation as \(x = 90^{\circ}-a\). Substitute \(a = 22^{\circ}\) into the equation: \(x=90^{\circ}- 22^{\circ}=68^{\circ}\).

Answer:

68