Interior And Exterior Angles Of A Octagon

So the sum of the interior angles of an octagon is 1080 degrees.

Interior and exterior angles of a octagon. Each exterior angle is 45º and there are 8 exterior angles. This means that each interior angle of the regular octagon is equal to 135 degrees. 8 2 180 8 6 180 8 1080 8 135 degrees.

Now let s find one interior angle n 2 180 n 12 2 180 12. 10 180 12. An octagon s internal angles add up to 1080 degrees.

Interior and exterior angle formulas. Assume it is a regular polygon but it doesn t have to be. These are not the reflex angle greater than 180 created by rotating from the exterior of one side to the next.

In this case 6 x 180 1080. 1080 8 135º for each interior angle. Each exterior angle is supplementary to the interior angle at the vertex.

Because the sum of the angles of each triangle is 180 degrees. The properties of regular octagons. The sum of the measures of the interior angles of a polygon with n sides is n 2 180.

One interior angle 150 awesome. The sum of the interior angles of a regular polygon is found with the formula. You can do this with any convex polygon and by convex i mean that all the internal angles are less than 180 degrees.