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What is the sum of the angle measures of a 32-gon? A. 5400 B. 5760 C. 6120 D. 5580
I think it's A.
The sum of the measures of the interior angles of a convex polygon with n sides is %28n-2%29%2A180%5Eo , or %28n-2%29%2Apiradians . If n=32 , then that sum is 30%2A180%5E2=5400%5Eo or 30piradians
I can never remember the direct formula i use the fact that sum of external angles of any polygon = 360 so here external angle of regular 32-gon = 360 / 32 = 11.25 internal angle = 180 - 11.25 = 168.75 32 *168.25 = 5400 degrees
A is correct
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