SOLUTION: the ratio of the interior and exterior angle of a regular polygon is 5:2.find the number of sides of the polygon.

Algebra ->  Polygons -> SOLUTION: the ratio of the interior and exterior angle of a regular polygon is 5:2.find the number of sides of the polygon.      Log On


   



Question 1144669: the ratio of the interior and exterior angle of a regular polygon is 5:2.find the number of sides of the polygon.
Answer by Alan3354(69443) About Me  (Show Source):
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the ratio of the interior and exterior angle of a regular polygon is 5:2.find the number of sides of the polygon.
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5x + 2x = 180
x = 180/7
Ext = 360/7 = 360/n
n = 7 sides