# Complementary and Supplementary Angles Calculator

## Complementary and Supplementary Angles Calculator

Complementary and supplementary angles calculator is online tool which helps you to calculate both complementary and supplementary angles at once.

You can use this online calculator to find the complementary as well as supplementary angles of the given angle. The other use case of this calculator tool is to check whether two angles are complementary or supplementary to each other or not.

## What is a Complementary Angle?

In mathematics, if the sum of two angles equals 90°, then the angles are known as complementary angles. For example, 40° and 50° are complementary angles because their sum equals 90°.

## What is Supplementary Angle?

In mathematics, if the sum of two angles equals 180°, then such angles are known as supplementary angles. For example, 60° and 120° are supplementary angles because their sum equals 180°.

## How to Calculate Complementary and Supplementary Angles?

The complementary angle is calculated using the following mathematical formula:

Complementary Angle = 90° - Given Angle

Similarly, the supplementary angle is calculated using the following mathematical formula:

Supplementary Angle = 180° - Given Angle

Example 1: Find the complementary and supplementary angle of 45°.

Complementary Angle = 90° - 45° => 45°

Supplementary Angle = 180° - 45° => 135°

Therefore, the complementary angle is 45° and the supplementary angle is 135°.

Example 2: Find the complementary and supplementary angle of 120°.

Here, the given angle is 120°.

Complementary angle = 90° - 120° => -30°

And, supplementary angle = 180° - 120° => 60°

Therefore, the complementary angle is not possible while the supplementary angle is 60°.

Example 3: Find the complementary and supplementary angle of 200°.

In this case, the given angle is greater than 90° as well as 180°.

Therefore, neither complementary nor supplementary angle is possible.