Problem 37 - Introductory Algebra for College Students

Question

Find the measure of the complement of each angle. $$58^{\circ}$$

Step-by-Step Solution

Answer

The complement of the angle \(58^{\circ}\) is \(32^{\circ}\)

Step 1: Understand what is a Complementary Angle

In geometry, two angles are called complementary if the sum of their degree measurements equals 90 degrees. i.e., if the measures of two angles add up to 90 degrees, those angles are complementary angles.

Step 2: Subtract the given angle from 90

Since the given angle is \(58^{\circ}\), subtract this from 90. Which is \(90^{\circ} - 58^{\circ}= 32^{\circ}\).

Step 3: Confirm the result

Check the solution by adding the given angle \(58^{\circ}\) and the complement angle \(32^{\circ}\). If they add up to 90, then the computation is correct.