4140
Improved Answer:-
Exterior angles = 360 degrees
Interior angles = 4140 degrees
Providing that it is a regular 20-gon then each exterior angle is 360/20 = 18 degrees
To find an exterior angle of a regular 12-gon, use the formula to find the total sum of all the angles first: total sum of all angles = (n-2)*180where 'n' is the number of sides, or 12.By solving, you will find that the total sum of all angles is 1800 degrees, so since it is a regular polygon, you can divide by 12 to find the measure of each interior angle, which is 150 degrees.Once you know the measure of the interior angles, since an exterior angle is the supplement of an interior angle, subtract 150 degrees from 180 degrees (the measure of a straight line) to find the exterior angles, which will be 30 degrees.
The angles add up to 3420 degrees. In a regular 21-gon, each angle is about 162.86 degrees.
NONE
The exterior sum of angles of any polygon is always 360 degrees.
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Providing that it is a regular 20-gon then each exterior angle is 360/20 = 18 degrees
It is: 360/11 degrees for each exterior angle
The exterior angles add up to 360 degrees. So: 360/20 = 18 degrees
When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.
The answer will depend on what measure you are interested in: interior or exterior angles, lengths of sides, principal diagonals, apothem, area.
The sum of the exterior angle of ANY polygon is 360 degrees.
To find an exterior angle of a regular 12-gon, use the formula to find the total sum of all the angles first: total sum of all angles = (n-2)*180where 'n' is the number of sides, or 12.By solving, you will find that the total sum of all angles is 1800 degrees, so since it is a regular polygon, you can divide by 12 to find the measure of each interior angle, which is 150 degrees.Once you know the measure of the interior angles, since an exterior angle is the supplement of an interior angle, subtract 150 degrees from 180 degrees (the measure of a straight line) to find the exterior angles, which will be 30 degrees.
Number of sides is irrelevant, exterior angles always total 360o
120 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 measure of one exterior angle of a regular 18-gon is 20°. The sum of all exterior angles of a regular polygon is always 360° so the measure of each exterior angle can be calculated by dividing 360° by the number of sides. In this case that would be: 360° 18 = 20°Therefore the measure of one exterior angle of a regular 18-gon is 20°.