Triangle: sum of angles
Enter two angles and this caltulator will compute third one for you.

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This online calculator is currently under heavy development. It may or it may NOT work correctly.
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 Choose a scenario that best fits your needs I know β and γ and I want to calculate αI know α and γ and I want to calculate βI know α and β and I want to calculate γ

Calculations data - enter values, that you know here

 First angle (α) => Second angle (β) <= Third angle (γ) <=

Result: First angle (α)

Used formulaShow source$α = pi - β - γ$
ResultShow source$\frac{1}{2}~\pi$
Numerical resultShow source$1.5708$
Result step by step
 1 Show source$\pi-\left(\frac{\pi}{4}\right)-\left(\frac{\pi}{4}\right)$ Removed unneded parenthesis 2 Show source$\pi+\frac{-1}{4}~\pi+\frac{-1}{4}~\pi$ Added polynomial terms 3 Show source$\frac{1}{2}~\pi$ Result
Numerical result step by step
 1 Show source$\frac{1}{2}\cdot3.141592653589793$ Multiply fractions 2 Show source$\frac{\left(1\cdot3.141592653589793\right)}{2}$ Multiply by one 3 Show source$\frac{3.141592653589793}{2}$ Simplify arithmetic 4 Show source$1.5708$ Result

Some facts

• A triangle is a polygon with three edges and three vertices.
• The sum of angles in triangle is 180 degrees or π radians.
$\alpha + \beta + \gamma = \pi = 180 ^\circ$
• Due to length of the sides we distinguish below types of triangles:
• scalene triangle - all sides have different length,
• isosceles triangle - at least two sides have the same length,
• equilateral triangle - all sides have the same length.
• Due to angles measure we distinguish below types of triangles:
• acute triangle - all angles measure less than 90 degrees (π/2 radians),
• right triangle - one of angle measures exacly 90 degrees (π/2 radians),
• obtuse triangle - one of angle measures greater than 90 degrees (π/2 radians).

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