Finding a Complement

Created By : Vipul Patel

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 01, 2025

Do you want to find a complement for an angle? If yes, then utilise the free Complementary Angles Calculator given here. Give the angle details as input data and tap the calculate button for finding a complementary angle easily.

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Complementary Angles: If the sum of two angles is 90°, then they are called complementary angles. In the following sections of this page, we have included the details like what are complementary angles, complement angles properties, steps to calculate complement of an angle and solved example questions. The complementary angles theorem also provided here.

What are Complementary Angles?

Two angles are said to be complementary angles if their sum is 90 degrees. Or when two complementary angles are put together, they form right angles.

Example:

60° is the complement of 30°.

Properties of Complementary Angles

  • The sum of complementary angles is 90°.
  • They can be either adjacent or non-adjacent.
  • Three or more angles can never become complementary even though their sum is 90°.
  • Two acute angles of a right triangle are complementary.
  • If two angles are complementary, each angle is a complement or complement angle of another angle.

Complementary Angles Theorem

The complementary angles theorem states that "If two angles are a complement to the same angle, then they are congruent to each other.

Steps to Find Complement of an Angle

Checkout the simple guidelines that are helpful to find the complement of an angle easily.

  • Get the get angle.
  • Subtract 90° from the given angle.
  • THe obtained difference is the complement angle for the given angle.

Question:

What is the complementary angle for 35°?

Solution:

Given angle is 35°

Take ∠A = 35°

If the sum of two angles is 90°, then those angles are complement to each other.

So, ∠A + ∠B = 90°

∠B = 90° - ∠A = 90° - 35°

= 55°

Therefore, complementary angle for 35° is 55°.

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FAQ's on Finding Complementary Angles

1. What does finding the complement mean?

The complement is the amount you need to add to something to make it "whole". In geometry, when the sum of two angles is equal to 90°, then they are complementary angles.

2. How to find complementary angles?

Subtract the given angle from 90° for finding a complementary angle.

3. What are the differences between complementary and supplementary angles?

The difference between supplementary and complementary angles are listed here.

  • If the sum of two angles is equal to 180°, then they are supplementary. When the sum is 90°, then complementary angles.
  • Complementary angles are not defined for linear pairs of angles. And supplementary angles are defined for the linear pair of angles.
  • Supplementary angles are meant for straight angles. Complementary angles are menat for right angles.

4. What is the sum of two complementary angles?

The sum of two complementary angles is equal to 90 degrees.