It could be any size at all, just as long as all 29 of them add up to 4,860 degrees.
If the polygon is regular, then each interior angle is 16717/29 degrees.
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Well, darling, the interior angle of a polygon can be calculated using the formula (n-2) * 180 / n, where n is the number of sides. So for a 29-sided polygon, the interior angle would be approximately 164.48 degrees. Now go impress someone with that knowledge, honey!
An interior angle of a 30-sided polygon can have any value between 0 and 360 degrees : with the possible exception of 180 degrees - which would make it a 29 sided polygon!
The easiest way to calculate this is to use the facts thatthe sum of the interior and exterior angles is 180o; andthe sum of the exterior angles of any polygon is 360o.For a regular polygon, each exterior angle will be 360o divided by the number of sides. The interior angle is then 180o - the exterior angle.For a 31-gon:exterior_angle = 360° ÷ 31= 1119/31o⇒ interior_angle = 180° - 1119/31o= 16812/31°≈ 168.39oUse the Interior Angle Formula directlyThe sum of interior angles for a polygon of n sides is (n-2) x 180° and individual angles for a regular polygon will be (n-2) 180°/nPlugging in the value n=31, we have one angle = 29(180)/31 = 168.39°
Sum of exterior angles = 360 deg Sum of interior angles = (29-2)*180 = 4860 degrees.
The formula for the sum of the interior angles of a shape with n sides is: 180 * (n - 2) So, for a 31 sided shape, the sum of the interior angles is 180 * 29 = 5,220.
29 degrees.