Equation For Sum Of Interior Angles Of A Polygon

S n 2 180 this is the angle sum of interior angles of a polygon.

Equation for sum of interior angles of a polygon. Sum of interior angles of a polygon with different number of sides. In order to find the measure of a single interior angle of a regular polygon a polygon with sides of equal length and angles of equal measure with n sides we calculate the sum interior angles or n 2 180 and then divide that sum by the number of sides or n. Its interior angles add up to 3 180 540 and when it is regular all angles the same then each angle is 540 5 108 exercise.

The measure of each interior angle of a regular polygon is equal to the sum of interior angles of a regular polygon divided by the number of sides. Check here for more practice. If n represents the number of sides then sum of interior angles of a polygon n 2 180 0 example.

Displaystyle n equals the number of sides in the polygon. If you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360. Learn and use the formula to calculate the sum of interior angles in different types of polygons.

Below given is the formula for sum of interior angles of a polygon. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. Polygons can be.

Therefore the sum of the interior angles of the polygon is given by the formula. S u m n 2 180. An exterior angle of a polygon is made by extending only one of its sides in the outward direction.

Displaystyle sum n 2 times 180 where. Make sure each triangle here adds up to 180 and check that the pentagon s interior angles add up to 540 the interior angles of a pentagon add up to 540. Hence we can say now if a convex polygon has n sides then the sum of its interior angle is given by the following formula.