How To Calculate A Regular Octagon’S Outer Angle?

This text explains how to calculate the measure of individual exterior angles of a regular octagon. An octagon has 8 sides, and the exterior angle is calculated as 360° / n = 45°. The sum of all interior angles in an octagon is 1080°, and the sum of the exterior angles is 360° ÷ 8.

To find the measure of each exterior angle, divide 360° by the number of sides, which is 8. The answer is 360° ÷ 8 = 45°. In a regular heptagon, each interior angle is 180×68=135o, and each exterior angle is 180o−135o=45o. The exterior angle of an octagon measures 45 degrees, and the sum of all exterior angles is 360 degrees.

The octagon formula is used to calculate its area, and since the measure of each exterior angle =360∘n =360∘8 =45∘, the measure of each exterior angle of a regular octagon is 45∘. A rule of polygons states that the sum of the exterior angles always equals 360 degrees, but this is not proven for a regular octagon with 8-sides.