A polygon with a total interior angle measure of 1080 degrees is a decagon, which has 10 sides. The formula for calculating the sum of the interior angles of a polygon is ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. For a decagon, ( (10 - 2) \times 180 = 8 \times 180 = 1440 ) degrees, which is incorrect for 1080 degrees. Therefore, a polygon with an interior angle sum of 1080 degrees would actually have 8 sides, making it an octagon, as ( (8 - 2) \times 180 = 1080 ) degrees.
An octagon has interior angles of 1080 degrees.
Total angles: (8-2)*180 = 1080 degrees Each interior angle: 1080/8 = 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
Using a protractor an 8 sided octagon angles will add up to 1080 degrees Or use the formula: (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
Exterior angles: 360 degrees Interior angles: 1080 degrees
The interior angles of an octagon add up to 1080 degrees
An octagon has interior angles of 1080 degrees.
Total angles: (8-2)*180 = 1080 degrees Each interior angle: 1080/8 = 135 degrees
135 degrees
octagon
1080 degrees
1080 degrees
The interior angles of an 8 sided 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.
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
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.
The interior angles add up to 1080 degrees.