Question

the measure of an angle is 38.4°. 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 given angle be \(A = 38.4^{\circ}\) and its complement be \(C\). Then \(A + C=90^{\circ}\).

Step2: Solve for the complementary angle

We can find \(C\) by \(C = 90^{\circ}-A\). Substitute \(A = 38.4^{\circ}\) into the formula: \(C=90^{\circ}- 38.4^{\circ}\).

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Answer:

\(51.6\)