Question

the measure of an angle is 74°. 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 \(A = 74^{\circ}\), and the complementary angle be \(x\). Then \(A + x=90^{\circ}\).

Step2: Solve for the complementary angle

\(x = 90^{\circ}-A\).
Substitute \(A = 74^{\circ}\) into the formula: \(x=90 - 74\).
\(x = 16^{\circ}\)

Answer:

\(16^{\circ}\)