Omni Calculator logo

Triangle Sum Theorem Calculator

Created by Mariamy Chrdileli
Reviewed by Julia Żuławińska
Last updated: Jan 18, 2024


The triangle sum theorem calculator is a convenient tool to help you calculate an unknown angle value in a triangle, given two angles. Are you wondering what the triangle angle sum theorem is? Wonder no more; come along and learn how to use the triangle sum theorem to find the triangle angle you're looking for! 👩‍🏫

Sum of angles in a triangle - What is the triangle sum theorem

According to the triangle angle sum theorem, the sum of all interior angles in a triangle equals 180°:

α + β + γ = 180°

For instance, if you wanted to determine the unknown angle α in a triangle, you would use the triangle angle sum theorem in the following way:

  • α = 180° - γ - β (in degrees)
  • α = π - γ - β (in radians)

You can also save time and trust the Omni triangle sum theorem calculator to do your work!

How do I use the triangle sum theorem calculator?

Using a triangle sum theorem calculator is very straightforward! Just enter two known interior angles of a triangle in the tool. The calculator will tell you the value of a third angle according to the triangle interior angle sum theorem.

You can also change units of measurement for angles as per your convenience!

Do you think the triangle sum theorem calculator is helpful? Come along; we have other related calculators that will make your life easier:

FAQ

How do I calculate the third angle in a triangle if two other angles are 40° and 75°?

To calculate the third angle in a triangle if two other angles are 40° and 75°:

  1. Add 40 to 75; in other words, sum two known interior angles of a triangle.
  2. Take the sum calculated in the previous step, and subtract it from 180.
  3. That's all! The value of a third angle is 66°.

What is the sum of angles in a triangle?

According to the triangle angle sum theorem, the sum of all interior angles in a triangle equals 180°.

Mariamy Chrdileli
Triangle with sides a,b,c and angles α, β, γ






α
deg
β
deg
γ
deg
Check out 19 similar triangle calculators 🔺
30 60 90 triangle45 45 90 triangleArea of a right triangle… 16 more
People also viewed…

Bitwise

Use the bitwise calculator to execute bitwise AND, OR, and XOR on inputs from different numeral systems.

Coffee kick

A long night of studying? Or maybe you're on a deadline? The coffee kick calculator will tell you when and how much caffeine you need to stay alert after not sleeping enough 😀☕ Check out the graph below!

Great circle

Find the shortest way around the globe with Omni's great circle calculator.

Social Media Time Alternatives

Check what you could have accomplished if you get out of your social media bubble.
Copyright by Omni Calculator sp. z o.o.
Privacy, Cookies & Terms of Service