Sum Of Interior Angles Of A Regular Polygon

Sum of interior angles 180 n 2 where n the number of sides in the polygon.

Sum of interior angles of a regular polygon. Sum of interior angles p 2 180. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. After examining we can see that the number of triangles is two less than the number of sides always.

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. So n 2 180 1080. Sum of all the interior angles of a polygon is equal to the product of a straight angle and two less than the number of sides of the polygon.

Interior angles sum of polygons. The sum of all interior angles of the regular polygon is n 2 180 where n is the number of sides. 1080 8 135 degrees.

Sum of interior angles measure of each interior angle. Interior angles for different shapes. A polygon is called a regular polygon when all of its sides are of the same length and all of its angles are of the same measure.

That means the polygon has eight interior angles of same measurement. Solve for n will give n 8 sides. The sum of the interior angles 2n 4 90 therefore the sum of n interior angles is 2n 4 90 so each interior angle of a regular polygon is 2n 4 90 n.

The angle sum of this polygon for interior angles can be determined on multiplying the number of triangles by 180. Sum of exterior angles of a polygon is. If you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360.