The resultant will not be a polygon.
2700 degrees = 180 degrees
which means it will be a straight line.
triangle
It will have (1440+360)/180 = 10 sides which is a decagon
(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
A regular polygon with interior angles of 144 degrees has 10 sides. Using the fact that a regular n-gon has interior angles of degree (n-2)*180/n, you can solve for the number of sides fairly easily.
Sum of interior angles - 180 degree (each side 60 degree) Sum of exterior angles of a polygon - 360 degree
No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
There is no such regular polygon with 45 degree interior angles; the smallest interior angles in regular polygons are 60 degrees, which is found in a triangle.
triangle
It will have (1440+360)/180 = 10 sides which is a decagon
(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
For a number of sides n the degree measure of the interior angles is 180(n-2). So 180*(6-2)=720 degrees each angle is 120 degrees :)
540 degree for the interior angles
A regular polygon with interior angles of 144 degrees has 10 sides. Using the fact that a regular n-gon has interior angles of degree (n-2)*180/n, you can solve for the number of sides fairly easily.
Sum of interior angles - 180 degree (each side 60 degree) Sum of exterior angles of a polygon - 360 degree
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 each of its interior angles is a measure of 108 degrees then it will have 5 sides and is called a regular pentagon.
(n-2)(180) use that formula to find the sum of the interior angles of a polygon in degree