Complementary Angles Calculator

Created By : Jitender Kumar

Reviewed By : Phani Ponnapalli

Last Updated : May 22, 2023

Our handy free online complementary angles calculator tool allows you to display the complementary angle for the given angle within a fraction of seconds. All you need to do is provide any angle you like as input and then hit the calculate button.

Deg to Rad Rad to Deg Supplementary Complementary Reflex

Angle

Examples:

Complementary Angles Calculator:Are you feeling difficulty to find the complementary angles for the given angle? Then you came to the right place as we have provided you with the easy calculator tool that provides you the complementary angle for any given angle immediately. And also provided you with complete information about complementary angles, examples, steps and many more. Start reading now!!

What is a Complementary Angle?

In mathematics, any two angles that add upto 90 degrees or π/2 is called complementary angle. The angles may not be adjacent to each other but when we add those angles, it should be 90 degrees.

For example, 60° + 30° = 90°.

Complementary Angle Formula

Look into the formulas, to find the complementary angle is given below.

Complementary angle = 90° - angle.

In Radians,

Complementary angle = π/2 - angle

How to Find Complementary Angle?

Look into the guidelines carefully that are given below to find the complementary angles easily.

  • Take any angle that was given in the problem.
  • And, let us take the unknown angle as x.
  • Then, write the given angle with equal to 90 degrees as we know the definition of complementary angle. or use the formula of degrees or radians.
  • Simplify the equation.
  • You will get the unknown value.

Complementary Angles Examples

Examples 1:

Question: Find the value of other angle if the complementary angle is 34°?

Solution:

Given, complementary angle is 34°

And we know the formula of complementary angle is

Complementary angle = 90° - angle

=> 90° - 34°

=> 56°

Therefore the other angle is 56°.

Example 2:

Question: Find the value of other angle if the complementary angle is 66°?

Solution:

Given, complementary angle is 66°

And we know that, When we add two angles, the sum should be equal to 90°.

i.e., 66° + x = 90°

Now, simplify the equation.

66° + x = 90°

X = 90° - 66°

=> 24°.

Therefore, the other angle x is 24°.

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FAQs on How to Solve Complementary Angles

1. How to use our complementary angle calculator?

For using our calculator tool, give any angle as input and then hit the calculate button then you will see the answer in a blink of an eye.

2. What is the formula for complementary angle?

The formula to use complementary angle is Complementary angle = 90° - angle.

3. What is x if one of the complementary angle is 64°?

Complementary angle = 90° - angle.

=> 90° - 64° => 26° .