Problem 38 - Introductory Algebra for College Students

Question

Find the measure of the complement of each angle. $$41^{\circ}$$

Step-by-Step Solution

Answer

The complement of the angle is \( 49^{\circ} \).

Step 1: Define Complementary Angles

Complementary angles are a pair of angles where the sum of their measures equals 90 degrees.

Step 2: Find the Complement of the Given Angle

To find the complement of the angle, subtract the measure of the angle from 90. It is calculated as follows: \( 90^{\circ} - 41^{\circ} = 49^{\circ} \). Hence, the complement of the angle is 49 degrees.