Question 1040555: determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5 Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website! .
determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5
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x for exterior angle and 5x for the interior angle.
x + 5x = 180 ---> 6x = 180 ---> x = = 30.
External angle is 30 degs.
n = = 12. (360° is the sum of the external angles of any n-sided polygon)
Answer. n = 12. ( Dodecagon !)