How To Calculate The Sum Of Interior Angles

The formula is math sum n 2 times 180 math where math sum math is the sum of the interior angles of the polygon and math n math equals the number of sides in the polygon.

How to calculate the sum of interior angles. Let n n equal the number of sides of whatever regular polygon you are studying. The sum of interior angles in a triangle is 180. 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.

To do this subtract 2 from the number of sides and multiply the difference by 180. The sum of the exterior angles of a regular polygon will always equal 360 degrees. For example an eight sided regular polygon an octagon has exterior angles that are 45 degrees each because 360 8 45.

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. This will give you in degrees the sum of the interior angles in your polygon. After examining we can see that the number of triangles is two less than the number of sides always.

The formula for the sum of that polygon s interior angles is refreshingly simple. 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.

The value 180 comes from how many degrees are in a triangle. 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. Interior angles sum of polygons the angle sum of this polygon for interior angles can be determined on multiplying the number of triangles by 180.

In this clip learn how to calculate the sum of interior angles of a octagon. To find the sum of interior angles of a polygon multiply the number of triangles in the polygon by 180. To find the value of a given exterior angle of a regular polygon simply divide 360 by the number of sides or angles that the polygon has.