Each exterior angle of a n-gon is 360/n degrees. So for a 24-gon each one would be 15 degrees.
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.
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
It will have 24 sides
The formula for finding the interior angle of any shape is: [180*(n-2)]/n, with n being the number of sides you have.In your case, you have a 24-gon. Plug it in for your n, and you have[180*(24-2)]/24 -> [180*22]/24 -> 3960/24 -> 165So the interior angle would be 165o.
The sum of the exterior angles of any convex polygon is always 360 degrees. The sum of the interior angles of any convex n-gon is (n-2) * 180 degrees, because any convex n-gon can be represented as n-2 triangles, and the sum of the interior angles of a triangle is 180 degrees.
Example: a regular 15-gon The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 180 x 13 = 2340 There are fifteen angles. 2340/15 = 156 An interior angle of a regular 15-gon is 156 degrees. There are two ways to find the exterior angles. The interior and exterior angles add up to 180. 180 - 156 = 24. The exterior angles of any polygon add up to 360. 360/15 = 24
The interior angles add up to 3960 degrees
Assuming that this is a regular pentadecagon, the 360° of the exterior offset angles are spread evenly, so are 24° each. This means the interior angles are 180-24=156°
24 and they add up to 3960 degrees
It is: (24-2)*180 = 3960 degrees
Interior angles using the formula: (24-2)*180 = 3960 degrees Exterior angles: 360 degrees
24 degrees providing that it is a regular polygon. (And since each interior angle is 156 deg, it IS a regular 15-gon.) 360/15 = 24 degrees
Each interior angle is 156 degreesEach exterior angle is 24 degrees
(24-2)times by 180