Interior Angle Sum Formula

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.

Interior angle sum formula. Sum of interior angles sum of the angles at o 2n 90 1 but the sum of the angles at o 360 substitute the above value in 1 we get sum of interior angles 360 2n 90. In this clip learn how to calculate the sum of interior angles of a octagon. Below given is the formula for sum of interior angles of a polygon.

Here is the formula. 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 you would use the formula n 2 x 180 where n is the number of sides in the polygon.

The measure of each interior angle of an equiangular n gon 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. Interior and exterior angle formulas. Exterior angles sum of polygons.

The sum of the measures of the interior angles of a polygon with n sides is n 2 180. The formula for the sum of that polygon s interior angles is refreshingly simple. Sum of interior angles of a three sided polygon can be calculated using the formula as.

S n 2 180 this is the angle sum of interior angles of a polygon. Since every triangle has interior angles measuring 180 180 multiplying the number of dividing triangles times 180 180 gives you the sum of the interior angles. Using our new formula any angle n 2 180 n for a triangle 3 sides 3 2 180 3 1 180 3 180 3 60.

You might already know that the sum of the interior angles of a triangle measures 180 and that in the special case of an equilateral triangle each angle measures exactly 60. S n 2 180 s n 2 180. To calculate the sum of the interior angles the following formula is used n 2.