How To Determine A Polygon’S Total Interior Angles?

The sum of interior angles in a polygon can be calculated using three formulas: sum of interior angles, single interior angles, and sum of internal angles. The sum of interior angles is calculated by subtracting two from the number of sides and multiplying it by 180. For example, if a pentagon has 5 sides, its interior angle sum is (5 – 2) x 180° = 3 x 180° = 540°.

In regular polygons, the sum of interior angles can be found by subtracting two out of the number of sides and multiplying it by 180. If this sum is divided by the number of triangles in the polygon, the sum of all interior angles of a regular polygon is calculated by the formula S=(n-2) × 180°, where n is the number of sides of a polygon.

For example, to find the sum of interior angles of a regular polygon, divide it into triangles and multiply the number of triangles by 180°. The sum of all interior angles of a regular polygon is calculated by the formula S=(n-2) × 180°, where n is the number of sides of a polygon.

In summary, the sum of interior angles in a polygon can be calculated using three formulas: sum of interior angles, single interior angles, and sum of internal angles. These formulas help solve problems related to the sum of interior angles in polygons and can be applied to various shapes, such as regular or irregular polygons.