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

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Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

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Calculations data - enter values, that you know here#

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

Result: First angle (α)#

Summary
Used formulaShow sourceα=πβγ α=\pi- β- γ
ResultShow source12π\frac{1}{2}\cdot\pi
Numerical resultShow source1.57079632679489661.5707963267948966
Result step by step
1Show sourceπ+14 π+14 π\pi+\frac{-1}{4}~\pi+\frac{-1}{4}~\piAdded coefficient
2Show source1 π+14 π+14 π1~\pi+\frac{-1}{4}~\pi+\frac{-1}{4}~\piGrouped coefficient
3Show source1+14+14 π1+\frac{-1}{4}+\frac{-1}{4}~\piSimplify arithmetic
4Show source12π\frac{1}{2}\cdot\piResult
Numerical result step by step
1Show source1.57079632679489661.5707963267948966Result

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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