Sum of Interior Angles Calculator

Use this sum of interior angles calculator to calculate sum of interior angles in any polygon by entering the number of sides. Learn the polygon interior angles sum formula easily.

Formula

Sum = (n - 2) × 180°

n = number of sides
Subtract 2 from the number of sides and multiply by 180° to find the sum of interior angles.

Popular Examples

nSum of Interior Angles
3180°
4360°
5540°
6720°
81080°

How To Calculate Without A Calculator

1. Count the number of sides (n).
2. Subtract 2 from n.
3. Multiply the result by 180° to get the sum of interior angles.

About This Calculator

This sum of interior angles calculator automatically computes the sum using the correct polygon interior angles sum formula with up to six decimal places.

Interesting Facts About Polygon Angles

• Triangles always sum to 180°.
• Quadrilaterals always sum to 360°.
• As the number of sides increases, the sum of interior angles increases.
• Interior angles help in geometric constructions.
• Regular polygons have equal interior angles.