Seudónimo Seudónimo
  • 26-01-2017
  • Mathematics
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What is the sum of the measures of the interior angles of a 14-gon?

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uhriuhvuish uhriuhvuish
  • 26-01-2017
The answer would be 154.3
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Аноним Аноним
  • 26-01-2017
Here, we know, sum of the exterior angles is always 360 degrees. 

As there are 14 angles in 14-gon, each exterior angle will measure 360/14 = 180/7 degrees. 

Now, as exterior & interior angle is always supplementary. It would be:
So, each interior angle will measure 180 - 180/7 = 1080/7 = 154.3

Now, sum of 14 angles would be: 154.3 * 14 = 2160 degree

In short, Your Answer would be 2160 degree

Hope this helps!
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