Moreno Herrera
08/29/2024 · Middle School
For regular polygons all internal angles have the same The size of a single internal angle may be found using the formula:
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The size of a single internal angle of a regular polygon can be found using the formula:
\[
\text{Internal Angle} = \frac{(n - 2) \times 180^\circ}{n}
\]
where \( n \) is the number of sides of the polygon.
This formula works because the sum of all internal angles of a polygon is given by \((n - 2) \times 180^\circ\), and since all internal angles are equal in a regular polygon, you divide that sum by the number of sides \( n \) to find the measure of one internal angle.
Quick Answer
The formula for the internal angle of a regular polygon is \(\frac{(n - 2) \times 180^\circ}{n}\), where \( n \) is the number of sides.
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