Yes, there is a polygon with an interior angle sum of 9000. The formula to find the sum of interior angles in a polygon is (n-2)*180 degrees, where n is the number of sides. To find the number of sides for a polygon with an interior angle sum of 9000, you would set the formula equal to 9000 and solve for n. So, (n-2)*180 = 9000, n-2 = 50, n = 52. Therefore, a polygon with 52 sides would have an interior angle sum of 9000 degrees.
A polygon with n sides inscribed in a circle has an angle sum of 180xn-360 So the problem is find n so that 180n-360=9000 => n=48 The regular polygon with an angle sum of 9000 has 48 sides
Im stuck on that too :/
The method of finding the sum of the interior angles of a polygon is by multiplying the (number of sides)-2 by 180, so the sum of the interior angle measures in a 25-sided polygon would be 23*180, or 4140 degrees.
Sum of interior angles of a 38 sided polygon: (38-2)*180 = 6480 degrees
The sum of the EXTERIOR angles of a polygon is 360 degrees. The sum of the INTERIOR angles of a polygon with n sides is (n-2)*180 degrees. If it is a regular polygon, each interior angle is (n-2)/n*180 degrees.
A polygon with n sides inscribed in a circle has an angle sum of 180xn-360 So the problem is find n so that 180n-360=9000 => n=48 The regular polygon with an angle sum of 9000 has 48 sides
Interior angles of any n-sided polygon sum to (2n - 4) right angles or 180n - 360 degrees. In your question this value = 9000, ie 180n = 9000 + 360 or 9360 degrees. 9360/180 = 52. A 52-sided polygon's interior angles total 9000 degrees.
Yes it is a 52-gon. (That means there are 52 sides)
A 29-sided polygon.
The sum of the interior angles of a polygon with n sides is 180*(n-2) degrees.
There is no regular polygon with an interior angle of 20o. If the interior angle is 120o then there are six sides and the sum of the angles is 720o.
A pentagon
No
No, a convex polygon cannot have an interior angle sum of 400 degrees. The sum of the interior angles of a convex polygon is always equal to (n-2) * 180 degrees, where n is the number of sides. Since the sum of the interior angles must be greater than 180 degrees for each interior angle, a convex polygon with an interior angle sum of 400 degrees would require at least 9 sides, which would make it a nonagon, not a polygon.
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
Im stuck on that too :/
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360