How to find the Complement of an Angle?

The complement of an angle is the angle that, when added to the given angle, results in 90 degrees. In other words, the complement of an angle A is given by

Complement of A=90∘−A

Steps to Find the Complement of an Angle:

1. Determine the Given Angle: First, identify the angle you want to find the complement for. This angle must be between 0° and 90° (as only angles less than 90° have complements).
2. Subtract the Given Angle from 90°: Subtract the value of the given angle from 90°. This will give you the complement.

Complement of A=90∘−A

Example 1:

Given: The angle is 30°.

To find the complement:

Complement of 30∘=90∘−30∘=60∘

So, the complement of 30° is 60°.

Example 2:

Given: The angle is 45°.

To find the complement:

Complement of 45∘=90∘−45∘=45

So, the complement of 45° is 45°.

Key Points:

• The complement of an angle is only valid for angles less than 90°.
• If the given angle is 90° or more, it does not have a complement (because the sum would exceed 90°).

Summary:

To find the complement of an angle, subtract the given angle from 90°.