Question

the measure of an angle is 68°. 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 \(A = 68^{\circ}\) and the complementary angle be \(x\). Then \(A + x=90^{\circ}\).

Step2: Solve for \(x\)

\(x = 90^{\circ}-A\). Substitute \(A = 68^{\circ}\) into the equation: \(x=90^{\circ}-68^{\circ}\).
\(x = 22^{\circ}\)

Answer:

\(22\)