How To Find The Interior Angle Of A Regular 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.

How to find the interior angle of a regular polygon. Choose one vertex or corner of the polygon and draw straight lines. If the exterior angle of a polygon is given then the formula to find the interior angle is. The sum of the measures of the interior angles of a polygon with n sides is n 2 180.

Interior angle of a polygon 180 exterior angle of a polygon. In a regular polygon the interior angles are all equal and there are as many as there are sides n. 720 120 heptagon or septagon 7.

Interior angle sum of the interior angles of a polygon n. If it is a regular polygon all sides are equal all angles are equal shape sides sum of interior angles shape each angle. The sum is divided by nto find each interior angle.

The sum of interior angles one way to find the sum of the interior angles of a polygon is to divide the polygon into triangles. N n 2 180 n 2 180 n. Angles of a regular polygon you have already seen that the sum of the exterior angles is 360 circ and that the interior and the exterior angles add up to 180 circ.

So the sum of the interior angles is shared out equally between the nsides. This is why the formula works. Check here for more practice.

A regular polygon is. Since we know that the sum of interior angles in a triangle is 180 and if we subdivide a polygon into triangles then the sum of the interior angles in a polygon is the number of created triangles times 180. To find the sum of its interior angles substitute n 5 into the formula 180 n 2 and get 180 5 2 180 3 540 since the pentagon is a regular pentagon the measure of each interior angle will be the same.