The exterior angles of a regular n-gon measure 360/n degrees each and each interior angle is supplementary to its corresponding exterior angle.
Thus each exterior angle measures 360/17 degrees which is approximately equal to 21.176 degrees.
Each interior angle will then measure 180 - 360/17 degrees which is approximately equal to 158.824 degrees.
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Exterior angles add up to 360 degrees Interior angles add up to 2700 degrees
The sum of the interior angles of a n-gon is (n-2)*180 degrees. Convexity does not matter. So for a 17-gon, the sum would be 15*180 = 2700 degrees.
360 degrees. The sum of the measures of the exterior angles any convex polygon will always be 360 degrees. The formula for finding the sum of the measures of the interior angles is 180(n-2) when n= the total number of sides the polygon has.
to find it out you use the equation X=(n-2)180 X being the sum of all interior, n being the number of sides. SO... X=(17-2)180 X=15x180 X=2700 so the sum of all interior angles of a 17 sided shape is 2700o
360