Question

the measure of an angle is 59.1°. 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 \(A = 59.1^{\circ}\) and its complementary angle be \(B\). Then \(A + B=90^{\circ}\).

Step2: Solve for the complementary angle

We can find \(B\) by subtracting \(A\) from \(90^{\circ}\). So \(B = 90^{\circ}-A\). Substitute \(A = 59.1^{\circ}\) into the formula: \(B=90 - 59.1\).

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Answer:

\(30.9\)