# SOLUTION: If the interior angle of a regular polygon is 5 times the exterior angle, then how many sides does the polygon have? Please tell me how to do it.

Algebra ->  Algebra  -> Polygons -> SOLUTION: If the interior angle of a regular polygon is 5 times the exterior angle, then how many sides does the polygon have? Please tell me how to do it.      Log On

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 Question 240151: If the interior angle of a regular polygon is 5 times the exterior angle, then how many sides does the polygon have? Please tell me how to do it.Answer by stanbon(57407)   (Show Source): You can put this solution on YOUR website!If the interior angle of a regular polygon is 5 times the exterior angle, then how many sides does the polygon have? Please tell me how to do it. ------------ An interior, exterior pair are always supplementary. You have x + 5x = 180 6x = 180 x = 30 ------- The exterior angle is 30 degrees. -------------------------------------------- Note: The sum of the exterior angles is always 360 degrees. -------------------------------------------- # of exterior angles = 360/30 = 12 ------------------ # of sides = # of exterior angles = 12 ================================== Cheers, Stan H.