How To Calculate Polygons’ Interior Angle Numbers?

The interior angles of a polygon are angles inside a shape, such as a triangle. They add up to 180° and can be calculated using the formula 180(n-2)/n, where n is the number of sides in the polygon. To find the number of sides in a regular polygon, divide the sum of interior angles value with the total number of sides.

For an irregular polygon, the unknown angle can be found by subtracting 2 from the number of sides, multiplying it by 180, and dividing it by the number of sides. If we know the sum of all the interior angles of a regular polygon, we can obtain the interior angle by dividing the sum by the number of sides.

The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a regular polygon is (n−2)180∘ n, where n is the number of sides of the regular polygon.

In summary, the interior angles of a polygon are angles inside the shape, and they can be calculated using three different formulas. The sum of interior angles can be found by dividing the sum of interior angles by the number of sides, while the sum of exterior angles can be determined by dividing the sum by the number of sides.