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Extend any one side.
The angle formed by that extended side and the adjacebt side is the Exterior Angle.
To find this angle.
Ext. Ang. = 360 / N ( Number of sides of the polygon)
Hence
EXT.ANG. = 360 /24 =
EXT.Ang. = 15 degrees.
Hence the Interiod Angle = 180 - Ext. Angle.
INT. Ang. = 180 - 15
INT. Ang. = 165 degrees.
NB A 24- gon is named as 'Icositetragon'.
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What is the the exterior angles of a 24 sided polygon?
The sum of the exterior angles of any polygon is always 360 degrees. Therefore, for a 24-sided polygon, each exterior angle would measure 360 degrees divided by 24, which equals 15 degrees.
What is the sum of the interior angles of a 24 gon?
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.
In a regular polygon the ratio of an exterior angle to the measure of an interior angle is 2 to13 how many sides does the polygon have?
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
What is the measure of each exterior angle of a 15 sided regular polygon?
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.
What is the interior angle of a regular 24 sided shape?
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.
