MathSimpler

Triangle Angle Sum Theorem

Discover why the interior angles of every triangle always add up to exactly 180°.

The Fundamental Rule

Angle A + Angle B + Angle C = 180°

The sum of interior angles in ANY triangle is always exactly 180 degrees

Any Triangle

Works for all triangles - scalene, isosceles, equilateral

Exact Value

Always exactly 180°, never more, never less

Universal

True in all geometries and mathematical systems

Practice with Interactive Tools

Isosceles Triangle Calculator

Practice angle sum with isosceles triangles. Input one angle and see how the theorem determines the other angles automatically.

Try Angle Calculator

Practice Problems

Test your understanding of angle relationships and triangle properties.

Practice Problems