Sum Of Interior Angles Of A Polygon Of N Sides

Let us count the number of sides of the polygon given above.

Sum of interior angles of a polygon of n sides. Sum of interior angles of n sided polygon. N 2 180. Sum of angles of each triangle 180.

Please note that there is an angle at a point 360 around p containing angles which are not interior angles of the given polygon. N x 180 360 n 2 x 180. 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.

Let s review to determine the total sum of the interior angles you need to multiply the number of triangles that form the shape by 180. Let n n equal the number of sides of whatever regular polygon you are studying. Formula to find the sum of interior angles of a n sided polygon is.

7 180. In a polygon of n sides the sum of the interior angles is equal to 2n 4 90. So the above regular polygon has 9 sides.

By using the formula sum of the interior angles of the above polygon is. The measure of each interior angle of an equiangular n gon is. 9 2 180.

Sum of interior angles n 2 180 s u m o f i n t e r i o r a n g l e s n 2 180. 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. Evaluate the formula for n 23.