SOLUTION: The ratio of the interior angle to the exterior angle of a polygon is 5:2.how many sides has the polygon

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Question 979314: The ratio of the interior angle to the exterior angle of a polygon is 5:2.how many sides has the polygon
Answer by Alan3354(69443) About Me  (Show Source):
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The ratio of the interior angle to the exterior angle of a polygon is 5:2.how many sides has the polygon
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5x + 2x = 180
x = 180/7
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Ext angles = 2x = 360/7
# of sides = 360/Ext
# of sides = 7