How To Calculate A Regular Octagon’S Interior Angle?

The sum of interior angles in a regular octagon is (n−2) × 180°/n. Each angle in a regular octagon is 135°, with the central angle being 45°. The sum of interior angles is 1080°, and the sum of exterior angles is 360°. A regular octagon has all its interior angles less than 180°, and all interior angles are the same size.

The properties of regular octagons include all sides being the same length and all interior angles being the same size. To find the measure of the angles, we know that the sum of the internal angles of any octagon, either convex or concave, is always 1080°. This can be easily concluded by finding out how many triangles can be fitted inside the octagon.

In this lesson, we will discuss how to find the measures of the interior angles of polygons based on the number of sides and the number of triangles that make up the octagon. Each interior angle of a regular octagon is equal to 180°, with each angle at each vertex being 135°.

To find the measure of each interior angle of a regular octagon, divide 1080 by 8 (1080 / 8) = 135 degrees. The final answer is: the measure of each interior angle of a regular octagon can be calculated using the formula (n-2) x 180 / n.