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March 31, 2015

March 31, 2015

Posted by **emily** on Monday, April 19, 2010 at 6:19pm.

- geometry -
**Damon**, Monday, April 19, 2010 at 6:36pmIf it has n sides you make n right turns to get all the way around the outside and end up going the same direction you were going at the start.

So each right turn is 360/n

Each interior angle is the supplement of that right turn

180 - (360/n)

so each interior angle = (180 n -360)/n

each = 180 (n-2)/n

the sum is then 180(n-2)

check that

triangle 180 (3-2)= 180 sure enough 180

square 180(4-2) = 360 yes

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