Question

the measure of an angle is 56.3°. what is the measure of its complementary angle?
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Explanation:

Step1: Recall complementary angle formula

Complementary angles sum to \(90^\circ\). Let the angle be \(A = 56.3^\circ\) and its complement be \(B\). So, \(A + B=90^\circ\).

Step2: Solve for the complementary angle

Rearrange the formula: \(B = 90^\circ - A\). Substitute \(A = 56.3^\circ\) into the formula: \(B = 90^\circ - 56.3^\circ = 33.7^\circ\).

Answer:

\(33.7\)