Geometry & Trigonometry
Intermediate

Interior Angle (Regular Polygon)

Measure of each interior angle of a regular polygon.

Formula

θ=(n−2)×180∘n\theta = \frac{(n-2)\times 180^\circ}{n}

Variables

nNumber of sides

Example

A regular pentagon (n=5): each angle = 3·180°/5 = 108°.

Did You Know?

A regular hexagon's 120° angles are why honeybees build hexagonal cells — they tile with no wasted space.

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