Exterior angles: 360 degrees
Interior angles: 3,960 degrees
Sum of exterior angles = 360 deg Number of exterior angles = 360/24 = 15 So it is a 15-sided polygon
24 degrees
22 * * * * * NO. It is 24. The formula for an n-sided polygon is (n-2)*180 degrees which gives n-2 = 22. And then n = 24
180(n-2)/n 180(24-2)/24 180(22)/24 3,960/24 165 Thus, each angle in a regular polygon that has twenty four sides is 165 degrees, and the sum of all the angles is 3,960 degrees.
The constructed polygon name for a 24-sided regular polygon is an icosikaitetragon.
The sum of the interior angles of a polygon is 2n - 4 right angles, where n is the number of sides. For a 24 sided shape this gives (2 x 24) - 4 = 44 right angles = 3960°.
Sum of exterior angles = 360 deg Number of exterior angles = 360/24 = 15 So it is a 15-sided polygon
Sum of interior angles of ANY n-sided polygon is (2n - 4) right angles. Where n = 24 this becomes 44 x 90 degrees ie 3960 degrees.
Basically when you have a 24 sided polygon you can split it up into 22 separate, non-overlapping triangles by drawing diagonals. Each triangle has 180 degrees, so the product, 22 times 180, gives you the sum of the interior angles of the 24 sided polygon.
24 degrees
The sum of the interior angles of any polygon is equal to (n-2) * 180 degrees, where n is the number of sides of the polygon. Since the exterior angles of a polygon are supplementary to the interior angles, if the exterior angles are 24 degrees, the interior angles would be 180 - 24 = 156 degrees.
((180 x 24) - 360)/24 = 3960/24 = 165o
22 * * * * * NO. It is 24. The formula for an n-sided polygon is (n-2)*180 degrees which gives n-2 = 22. And then n = 24
The exterior angles of any polygon add up to 360. 360/15 = 24
360 degrees is.
There can be no such polygon. The sum of exterior angles of any polygon is 360 degrees. If the sum of the exterior angles is 15 times the sum of the interior angles, then the sum of the interior angles must be 360/15 = 24 degrees. Now, the sum of the interior angles of a polygon with n sides is (n-2)*180 degrees So (n-2)*180 = 24 That is, (n-2) = 24/180 = 0.133... and so n = 2.133...sides But n must be an integer and it must be greater than or equal to 3.
(24-2)*180 = 3960 degrees