octagon
The interior angles of an octagon add up to 1080 degrees
Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
If the polygon has n sides, the sum of its interior angles is 180*(n-2) = 1080 So n-2 = 1080/180 = 6 And therefore n = 8
8
It is an 8 sided octagon whose interior angles add up to 1080 degrees.
An octagon has interior angles of 1080 degrees.
The interior angles of an 8 sided octagon add up to 1080 degrees
The interior angles of an 8 sided octagon add up to 1080 degrees
using the equation (A-2)180 Where A is the number of angles in a polygon with equivalent angles. (8-2)180 (6)180 1080 degrees total. 1080 / 8 = 135 degrees per angle. 1080 is the total degrees of all interior angles. 8 is the number of angles.
Exterior angles: 360 degrees Interior angles: 1080 degrees
The interior angles of an octagon add up to 1080 degrees 1080 degrees in total, 135 each.
The sum of the interior angles of a polygon is 2n - 4 right angles - where n is the number of sides. So, 1080° = 1080/90 = 12 right angles If 2n - 4 = 12 then 2n = 16 : n = 8 The number of sides is 8.