The formula of calculating an interior angle

Mathematics

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The formula for calculating an interior angle of a polygon is given by:

Interior Angle=(n−2)×180∘n\text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n}

where nn is the number of sides of the polygon.

For example, for a triangle (n=3n = 3):

Interior Angle=(3−2)×180∘3=180∘3=60∘\text{Interior Angle} = \frac{(3-2) \times 180^\circ}{3} = \frac{180^\circ}{3} = 60^\circ

For a square (n=4n = 4):

Interior Angle=(4−2)×180∘4=360∘4=90∘\text{Interior Angle} = \frac{(4-2) \times 180^\circ}{4} = \frac{360^\circ}{4} = 90^\circ
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