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.
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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.
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'.
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.
It will have 24 sides
A triangle with interior angles of 42, 87 and 24 degrees doesn't exist because the angles add up to 153 degrees whereas the interior angles of any triangle always add up to 180 degrees.