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.
Im stuck on that too :/
Yes the 3 interior angles of any triangle always add up to 180 degrees.
The sum of the interior angles of an n-gon is found by the formula: (n-2)*(180) degrees. So a 38-gon would have (38-2)*(180) degree sum for its interior angles, which equals 6,480 degrees.
900 degrees.Explanation: The sum of the measures of the interior angles of a heptagon is 900°. A heptagon has 7 sides. So to calculate the sum of the measures of the interior angles in a heptagon, substitute 7 for n in (n − 2) • 180°. You get (7 − 2) • 180°, or 5 • 180°= 900°.
The exterior angles of any polygon including a 36 sided polygon always add up to 360 degrees.
A 13 sided polygon also called a triskaidecagon or tridecaogn has a total 1980 degrees for its interior angles.
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
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.
2700⁰/180⁰ = 15 (triangles)So the polygon has 17 sides.
The sum of the interior angles of a 13 sided polygon add up to 1980 degrees because (13-2)*180 = 1980 degrees
It is a hexagon.