The polygon would have 17 sides.
Here is why:
n = Number of Sides
s = Sum of Interior Angles
n = (s / 180) + 2
So
n = (2700 / 180) + 2
n = 15 + 2
n = 17
Best I could explain it :)
2700⁰/180⁰ = 15 (triangles)So the polygon has 17 sides.
The interior angles of a 17 sided polygon add up to 2700 degrees
The resultant will not be a polygon. 2700 degrees = 180 degrees which means it will be a straight line.
The interior angles of a 17 sided polygon add up to 2700 degrees
Sum of interior angles = (number of sides - 2)*180 = 15*180 = 2700 degrees.
2700⁰/180⁰ = 15 (triangles)So the polygon has 17 sides.
The interior angles of a 17 sided polygon add up to 2700 degrees
A polygon whose interior angles add up to 2700 degrees will have 17 sides.
The resultant will not be a polygon. 2700 degrees = 180 degrees which means it will be a straight line.
The interior angles of a 17 sided polygon add up to 2700 degrees
sum of angles of polygon = 180(n-2) = 180*15 = 2700
Sum of interior angles = (number of sides - 2)*180 = 15*180 = 2700 degrees.
(17-2)*180 = 2700 degrees
That depends what you are talking about. The interior angles equation is: Degrees=180(n-2) when n is the number of sides. The exterior angles are always 360. In this question, the measure of the interior angles would be 2700 degrees.
The 17 interior angles add up to 2700 degrees
Assuming it is regular, the total degrees of an n-sided polygon = 180(n-2) = 2700. 2700/17 = 158.23 degrees
180n - 360 = 2700 so n = 3060/180 = 17 which is the number of sides. This works because the interior angles of any n-sided polygon total (180n - 360) degrees, usually expressed as "(2n - 4) right angles"