The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
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The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Once you have the sum, divide by the number of sides to find an individual angle.
We solve the equation for n... since the sum of the interior angles is 180(n-2) where n is the number of sides of the polygon. So we have: 180(n-2)=1260 n-2=7 n=9 So 9 sides
(number of sides-2)*180 = total sum of interior angles
A regular polygon with 10 sides is called a decagon. The formula of angle sums of a polygon is: Angle Sums = (n - 2)180° where n = number of sides. So, Angle Sums = (10 - 2)180° = 8 x 180° = 1,440°
If the polygon has n sides, the sum of its interior angles is 180*(n-2) = 1080 So n-2 = 1080/180 = 6 And therefore n = 8