A 13 sided polygon also called a triskaidecagon or tridecaogn has a total 1980 degrees for its interior angles.
2280 :S
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
With any regular polygon it is 180 minus interior angle times number of sides equals 360 degrees
The total angles will be 3600 degrees, because each triangle will have 180 degrees total.
2700⁰/180⁰ = 15 (triangles)So the polygon has 17 sides.
If the polygon has n sides, the sum of its interior angles is 180*(n-2) degrees.
A triangle
2280 :S
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
A Regular Polygon
With any regular polygon it is 180 minus interior angle times number of sides equals 360 degrees
If it had n sides, the sum of its interior angles would have been (n-2)*180 degrees. That would require (n-2)*180 = 1140 This requires that 180 divides into 1140. It does not so there is no such polygon.
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.
The total angles will be 3600 degrees, because each triangle will have 180 degrees total.
The sum of the interior angles of a 13 sided polygon add up to 1980 degrees because (13-2)*180 = 1980 degrees
2700⁰/180⁰ = 15 (triangles)So the polygon has 17 sides.
It is a hexagon.