Interior Angles of a Convex Polygon Calculator

Calculate Polygon Interior Angles

Enter 3 or more sides for a polygon (e.g., triangle has 3 sides).

Results:

Sum of Interior Angles:

Each Interior Angle (if regular):

Use our free Interior Angles of a Convex Polygon Calculator to quickly find the sum of interior angles and the measure of each angle for any n-sided polygon. Ideal for geometry students and professionals alike!

Formula:

To find the sum of the interior angles of a convex polygon, use the formula:
Sum of Interior Angles (S) = (n - 2) × 180°
If the polygon is regular, the measure of each interior angle (A) is:
Each Interior Angle (A) = S / n
Where:
n = the number of sides of the polygon

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