How To Calculate A Decagon’S Internal Angle?

The general rule states that the sum of interior angles in a regular polygon is equal to (n – 2) × 180°, where n is the number of sides. In a regular decagon, each interior angle has a measure of 144°, and each exterior angle has a measure of 36°. In a dodecagon, the sum of all interior angles is 1800°, and the exterior interior angle is 150°.

To calculate the sum of interior angles in a decagon, two methods can be used: counting the number of triangles that can be divided into the decagon and using the formula: Sum of interior angles = (n-2) * 180 degrees, where n is the number of sides. For example, dividing a decagon into eight triangles yields the sum of the interior angles of a regular decagon as 1440°.

The sum of interior angles in a regular decagon is calculated by dividing the sum and the number of total sides in the decagon by 1,440/10 = 144°. For any polygon, the sum of the interior angles is the number of sides – 2 * 180, which simplifies to 10 -2 * 180 => 8*180 => 1440.

For a decagon with 10 sides, the sum of interior angles of a polygon having ‘n’ sides is (n-2) × 180∘. This knowledge can be used to solve problems related to interior angles in polygons.