What Are The Interior Angles Of An Octagon

N n 2 180 n 2 180 n.

What are the interior angles of an octagon. An octagon s internal angles add up to 1080 degrees. An interior angle of a regular octagon is 45 degrees. In this case 6 x 180 1080.

If it is a regular polygon all sides are equal all angles are equal shape sides sum of interior angles shape each angle. 720 120 heptagon or septagon 7. Subtract 45 from 180 and you get 135 however each interior angle is split in half to make the two gluing surfaces.

As with all polygons the external angles total 360. An octagon has an interior angle sum of 1 080 degrees. You can do this with any convex polygon and by convex i mean that all the internal angles are less than 180 degrees.

See full answer below. In general if a polygon has n sides then the sum s of the interior angles of the. So the sum of the interior angles of an octagon is 1080 degrees.

The sum of the interior angles of an octagon is 1080. 1 080 8 135. All of the angles are equal in a regular octagon so we need to divide 1 080 by 8 angles.

For that you can divide the angle in half to get 67 5 degrees or use the formula 90 180 n which gives the same answer. The exterior angles measure 315 degrees. 360 divided by eight is 45.