How To Find The Interior Angle Sum Of A Polygon

One interior angle n 2 180 n o n e i n t e r i o r a n g l e n 2 180 n.

How to find the interior angle sum of a polygon. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. Since there are 180 degrees in a triangle by multiplying the number of triangles in your polygon by 180 you can find the sum of the interior angles of your polygon. 720 120 heptagon or septagon 7.

By using the formula sum of the interior angles of the above polygon is. To find the measure of a single interior angle then you simply take that total for all the angles and divide it by n n the number of sides or angles in the regular polygon. N n 2 180 n 2 180 n.

In a polygon of n sides the sum of the interior angles is equal to 2n 4 90. 5 2 180. If it is a regular polygon all sides are equal all angles are equal shape sides sum of interior angles shape each angle.

This gives us the formula total interior angles n 2 180 where n is the 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. N 2 180.

Polygon angle sum irregular you polygons interior angle in irregular polygon grade 3 onmaths missing angle in an irregular polygon you how to calculate the sum of interior angles 8 steps. Exterior angles sum of polygons. S n 2 180 this is the angle sum of interior angles of a polygon.

540 1 by using the angles sum of the interior angles of the above polygon is. 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. Check here for more practice.