Interior Angles Formula

Let us find the missing angle x circ in the following hexagon.

Interior angles formula. Where n is the number of polygon sides. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. From the above table the sum of the interior angles of a hexagon is 720 circ two of the interior angles of the above hexagon are right angles.

N 2 x 180. The sum of all of the interior angles can be found using the formula s n 2 180. Here is an octagon eight sides eight interior angles.

Sum of interior angles n 2 180 each angle of a regular polygon n 2 180 n. S n 2 180 s 8 2 180 s 6 180 s 1 080 next divide that sum by the number of sides. Measure of each interior angle 1 080 8.

In a polygon of n sides the sum of the interior angles is equal to 2n 4 90. Sum of interior angles of a three sided polygon can be calculated using the formula as. Set up the formula for finding the sum of the interior angles.

The formula is where is the sum of the interior angles of the polygon and equals the number of sides in the polygon. For instance a triangle has 3 sides and 3 interior angles while a square has 4 sides and 4 interior angles. First use the formula for finding the sum of interior angles.

An interior angle is located within the boundary of a polygon. Polygons are also classified as convex and concave polygons based on whether the interior angles are pointing inwards or outwards. The formula for finding the total measure of all interior angles in a polygon is.