First, find the sum of the interior angles using the formula: (𝒏 – 2) × 180 = (8 – 2) × 180 = 6 × 180 = 1080. Then divide this by the number of sides, eight: 1080 divided by 8 = 135.

The rays extending from A and B can’t be parallel, because in Euclidean geometry this would require these “same-side interior” angles to be “supplementary” — that is, to sum to 180 degrees. These ...

This is true for any polygon with n sides, regular or not, and it follows from the fact that an n -sided polygon can be divided into (n − 2) triangles, and the sum of the measures of the interior ...

Ivo G. Rosenberg, Frank Stenger, A Lower Bound on the Angles of Triangles Constructed by Bisecting the Longest Side, Mathematics of Computation, Vol. 29, No. 130 (Apr., 1975), pp. 390-395 ...

An exterior angle of a regular polygon can be found by dividing 360° by the number of sides (𝒏). Eg, for an eight-sided shape (octagon), divide 360° by 8 to find the size of an exterior angle ...