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

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Calculations data - enter values, that you know here

Third angle (γ)
Second angle (β)
First angle (α)

Result: Third angle (γ)

Used formulaγ = pi - α - β
Result1/4 pi
Numerical result0.7854
Result step by step
1pi + -1 / 2 pi + -1 / 4 piAdded polynomial terms
21 / 4 piResult
Numerical result step by step
11 / 4 * 3.141592653589793Multiply fractions
2(1 * 3.141592653589793) / 4Simplify arithmetic
33.1416 / 4Simplify arithmetic

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.
α+β+γ=π=180\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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