Polygon Angle Calculator

Calculate the interior and exterior angles of a polygon using the number of sides.

Polygon Angle Calculation

Enter the number of sides to calculate the sum of interior angles and individual angles of a regular polygon.

Polygon Angle Calculator

Formulas Used:

For a polygon with \( n \) sides:

\[ \text{Sum of Interior Angles} = (n - 2) \times 180^\circ \]

\[ \text{Each Interior Angle (Regular Polygon)} = \frac{(n - 2) \times 180^\circ}{n} \]

\[ \text{Each Exterior Angle (Regular Polygon)} = \frac{360^\circ}{n} \]

  • n: Number of sides

For example, a pentagon (\( n = 5 \)) has a sum of interior angles of \( (5 - 2) \times 180^\circ = 540^\circ \), each interior angle of \( 108^\circ \), and each exterior angle of \( 72^\circ \).