geometeasy

Geometry Level 2

what is the sum of the interior angle in a 12-gon?


The answer is 1800.

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2 solutions

Victor Porto
Sep 20, 2014

Si = 180º(n - 2)

Si = 180º(12 - 2)

Si = 180º(10)

Si = 1800º

Robert Haywood
Nov 29, 2014

S n = 180 ( n 2 ) S_n=180(n-2) ^ \circ

Therefore...

S 12 = 180 ( 12 2 ) = 180 ( 10 ) = 180 0 S_{12}=180(12-2) ^ \circ=180(10) ^ \circ=1800 ^ \circ

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