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  • 07-06-2017
  • Mathematics
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what is the sum of the exterior angles of a decagon. PLEASE EXPLAIN OR SHOW WORK!!!

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whitesoxlady
whitesoxlady whitesoxlady
  • 07-06-2017
Like any regular polygon, to find the interior angle we use the formula (180n–360)/n . For a decagon, n=10. To find the exterior angle of a regular decagon, we use the fact that the exterior angle forms a linear pair with the interior angle, so in general it is given by the formula 180-interior angle. So set up the formula as (180(10)-360)/10 and the result is the exterior angle.
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