SOLUTION: The ratio of an exterior angle and interior angle of a regular polygon is 2:7find each exterior angle of regular polygon with numbers of sides in the polygon?

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Question 1123280: The ratio of an exterior angle and interior angle of a regular polygon is 2:7find each exterior angle of regular polygon with numbers of sides in the polygon?
Answer by Alan3354(69443) About Me  (Show Source):
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The ratio of an exterior angle and interior angle of a regular polygon is 2:7find each exterior angle of regular polygon with numbers of sides in the polygon?
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Ext + Int = 180
2x + 7x = 180
x = 20
Ext = 40 degs
Sum of Ext angles for all polygons = 360 degs
# of sides = 360/40 = 9