# Any exterior angle of a polygon corresponds to an interior angle, and their sum is 180 degrees. # If there are n sides (and therefore n vertices) then the sum of all the interior and exterior angles must be 180n. # The external angles of a polygon total 360 degrees, else it could not be a closed shape. # From the above three points, it follows that the sum of interior angles is given by 180n - 360. So, if there is an integer solution to 180n - 360 = 180(n - 2) = 5400, then the answer to your question is yes. 180(n - 2) = 5400 n - 2 = 30 n = 32 A polygon with 32 sides fulfills the criterion. That would be, hmmm, a triacontakaidigon, of course.
Any polygon can have two interior angles of 12 degrees. No polygon can have all its interior angles of 12 degrees.
No. It is impossible.The definition of a regular polygon is a polygon with equal angles, and equal sides.For a polygon to be concave, it has to have at least one angle more than 180 degrees, and a a polygon cannot consistently have angles more than 180 degrees.
The exterior angles of a polygon add up to 360 degrees.
There is no such polygon whose interior angles add up to 250 degrees.
A convex hexagon is a simple polygon whose interior is a convex set. It is a six-sided polygon, and it has no angles pointing inwards, meaning that no internal angles can be more than 180 degrees.
1800 degrees (that is the sum of the internal angles of the 12-sided polygon).
No. In a convex polygon, all the internal angles are smaller than 180 degrees.
The addition of an extra side increases the total of the internal angles by 180° The sum of the internal angles of a polygon = (number of sides - 2) × 180°
No.
no
For any n-sided regular polygon, the sum of the internal angles of the polygon is equal to (n - 2) x 180. In this instance, the sum of the internal angles of a 14-sided shape is equal to (14 - 2) x 180 = 2160 degrees.
The sum of the internal angles of a polygon of n sides is (n-2)*180 degrees.
Yes. Internal angles of an n-sided regular polygon total 180n -360 degrees, usually expressed as (2n - 4) right angles
External angles would total 360 degrees; internal angles would total 14,400 degrees.
The interior angles add up to 1080 degrees
The 8 interior angles add up to 1080 degrees
The sum of all the internal angles of a polygon with n sides is 180*(n-2) degrees. In a regula polygon, therefore, each internal angle is 180*(n-2)/n degrees. Also The sum of all the external angles in 360 degrees. The sum of each external angle in a regular polygon is 360/n degrees.