It is: 360/8 = 45 degrees
8 Since the sum of the exterior angles of any polygon is always 360, you can divide 360 by 45 to find the number of exterior angles, which is 8. That means 8 interior angles and eight sides as well.
Sum of exterior angles: 360 degrees Sum of interior angles: 1080 degrees Each exterior angle: 360/8 = 45 degrees Each interior angle: 1080/8 = 135 degrees
135
...eight interior and exterior angles. ANGLES
octogon
8 Since the sum of the exterior angles of any polygon is always 360, you can divide 360 by 45 to find the number of exterior angles, which is 8. That means 8 interior angles and eight sides as well.
For regular polygons, all the interior angles are the same measure, while the sum of the exterior angles is always 360 for any regular polygon. Use these facts and the fact that each interior/exterior angle pair has a sum of 180 to answer this question. 360 divided by 8 = 45. So each exterior angle of the figure measures 45. 180 - 45 = 135, so each interior angle measures 135 degrees.
Sum of exterior angles: 360 degrees Sum of interior angles: 1080 degrees Each exterior angle: 360/8 = 45 degrees Each interior angle: 1080/8 = 135 degrees
Eight
135
If the 135-degree polygon is a regular polygon and each interior angle measures 135 degrees then the polygon is an eight-sided octagon
...eight interior and exterior angles. ANGLES
An octagon is a two-dimensional polygon with eight sides which can be regular or irregular
A polygon with eight sides, regular or not, is an octagon. There isn't a special name for a regular octagon (other than "regular octagon").
octogon
The external angle of a polygon is equal to 360/n, n representing the number of sides in the polygon. Since an octagon has eight sides, the external angle of a regular octagon is 360/8 = 45 degrees. Since a straight angle in a polygon would be equal to 180 degrees, you subtract the measure of the external angle from this, to make an internal angle of 180 - 45 = 135 degrees.
A convex figure has eight sides. What is the sum of its exterior angles?