Question

the measure of an angle is 38.4°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary angle formula

Complementary angles sum to \(90^\circ\). Let the angle be \(A = 38.4^\circ\) and its complement be \(B\). Then \(A + B=90^\circ\), so \(B = 90^\circ - A\).

Step2: Substitute the value of \(A\)

Substitute \(A = 38.4^\circ\) into the formula: \(B=90^\circ - 38.4^\circ\)
Calculate \(90 - 38.4 = 51.6\), so \(B = 51.6^\circ\).

Answer:

\(51.6^\circ\)