Problem 76 - Introductory Algebra for College Students

Question

What are complementary angles? Describe how to find the measure of an angle's complement.

Step-by-Step Solution

Answer

Complementary angles are two angles that add together to make 90 degrees. The complement of an angle can be found by subtracting the given angle from 90 degrees.

Step 1: Definition

Complementary angles are defined as those two angles that sum up to be 90 degrees. In other words, if two angles are complementary, then their measures add up to 90 degrees.

Step 2: Recognize the Relationship and Set Up the Equation

Determine the relationship between the given angle and its complement. If an angle is given, let's denote it by \( x \), then its complement can be represented by \( 90 - x \). This equation is based on the fact that the sum of a given angle and its complement is 90 degrees.

Step 3: Compute the Complement

Calculate the complement of the angle by subtracting the measure of the given angle from 90. This can be computed using a calculator or by hand, depending on the complexity of the given angle.