Number Of Degrees In The Outside Of A Polygon?

The exterior angles of a polygon are formed by the one side of the polygon and the extension of its adjacent side at the vertex. The sum of the interior angles of an N-sided polygon is 180(N-2) degrees, and if the polygon is regular, every interior angle has the same measure: 180(N-2)/n. The exterior angles of an N-sided polygon are calculated by dividing the sum of interior angles by the number of sides.

The sum of all the exterior angles in a polygon is equal to 360 degrees. A regular polygon has equal exterior angles of 72°. To calculate the size of each interior angle in a regular polygon, subtract the exterior angles from the total number of sides. In both cases, each exterior angle of a regular hexagon is 60°, and each exterior angle of a regular polygon is 30 degrees. The number of sides in the polygon is 360/30 = 12. The number of diagonals is n(n-3)/12.

In the case of exterior angles, they add up to 360 degrees in the same polygon, so the number of sides can be calculated as the sum of exterior angles / each exterior angle = 360° / 15 = 24. Thus, a regular polygon has 24 sides.