How To Calculate An Interior Angle’S Size?

The sum of interior angles in a regular polygon is calculated by dividing the sum of interior angles by the number of sides in the polygon. For example, a regular polygon has 10 sides and 5 interior angles of 108^o and 5 exterior angles of 72^@. The size of each interior angle is 144°.

Interior angles can be used in two different contexts: formed when two parallel lines are cut by a transversal, and in finding the measure of each interior and exterior angle for a regular polygon. The formula for finding the sum of the measure of interior angles is (n – 2) * 180. To find the measure of one interior angle, divide by the number of sides n: (n – 2) * 180 / n.

To calculate the size of an interior angle, divide the sum of interior angles by the number of sides. The sum of exterior angles is equal to the right angle or 90 degrees. To find the value of the interior angle of a regular polygon, use the formula angle = (n – 2) × 180 / n.

In summary, the sum of interior angles in a regular polygon is calculated by dividing the sum of interior angles by the number of sides. This formula can be used to solve for missing angles and find the value of the interior angle of a regular polygon.