katemarie2002
katemarie2002 katemarie2002
  • 16-08-2017
  • Mathematics
contestada

How do you find the measure of one interior angle of a regular 12-gon?

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mreijepatmat
mreijepatmat mreijepatmat
  • 16-08-2017
The SUM of the interior angleS of a regular n-gone, where n is the total number of sides: is : SUM of all angles = (n-2)*180°
For a 12-gon, then:
SUM of all angles = (12-2)*180° = 1800°
Since there are 12 interior angles, then the measure of one angle equal:

1800/12 = 150°

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