Question

the measure of an angle is 27.1°. 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 \(A = 27.1^{\circ}\) and its complement be \(B\). Then \(A + B=90^{\circ}\).

Step2: Solve for the complementary angle

We can find \(B\) by \(B = 90^{\circ}-A\). Substitute \(A = 27.1^{\circ}\) into the formula: \(B=90^{\circ}- 27.1^{\circ}\).

$$B=(90 - 27.1)^{\circ}=62.9^{\circ}$$

Answer:

\(62.9\)