Each exterior angle of a n-gon is 360/n degrees. So for a 24-gon each one would be 15 degrees.
15
24 degrees. Here's why: The sum of the deviations from a straight line at the angles must add up to 360 degrees (full circle). In a regular polygon, each deviation is equal. So, in this case, each deviation is 360 / 15 = 24 degrees. Since the exterior angle is the supplement of the interior angle (they add up to 180), this is the exterior angle.
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.
Sum of exterior angles = 360 degrees. If each one is 15 degrees then there must be 360/15 = 24 of them.
The interior angles of a regular 12-sided polygon. Total angles 90(24 -4) ie 1800 degrees ie 12 x 150
Interior angles add up to 3960 degrees Exterior angles add up to 360 degrees
The exterior angles of any polygon add up to 360. 360/15 = 24
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
assuming it is a regular polygon: the total exterior angles of any regular polygon add up to 360° therefore 360/15=24°
Interior angles using the formula: (24-2)*180 = 3960 degrees Exterior angles: 360 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.
24 degrees
Each exterior angle measures 15 degrees
360 degrees is.
Sum of exterior angles = 360 Number of equal angles = 360/15 = 24. So 24 sides.
If interior angle is 165 then exterior must be 15.Exterior angles of regular n-sided polygon = 360/n.As 360/n = 15, n must be 24
((180 x 24) - 360)/24 = 3960/24 = 165o