Interior angle sum of a polygon
Interior angle sum of a polygon
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Work out the sum of interior angles: pentagon (n = 5).
Formula: (n − 2) · 180°, where n = 5.
°
What does this generator do?
The generator shows a regular polygon with 3 to 8 vertices. Your task is to work out the sum of its interior angles.
How to solve it
Any n-gon can be split into (n − 2) triangles. Each triangle contributes 180°, so the total is (n − 2) · 180°. Example: a pentagon gives (5 − 2) · 180° = 540°.
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