Question 1040555
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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 = {{{180/6}}} = 30.

External angle is 30 degs.

n = {{{360/30}}} = 12.   (360° is the sum of the external angles of any n-sided polygon)

<U>Answer</U>.  n = 12.  ( Dodecagon !)
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