SOLUTION: if the measure of an exterior angle of a regular polygon is greater than 50 and less than 55, how many sides does the polygon have?
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Question 826368: if the measure of an exterior angle of a regular polygon is greater than 50 and less than 55, how many sides does the polygon have?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
if the measure of an exterior angle of a regular polygon is greater than 50 and less than 55, how many sides does the polygon have?
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n = # of sides
For all polygons the sum of exterior angles = 360 degs
360/50 = 7.2 sides
360/55 = 6.5 sides
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The integer between 7.2 & 6.5 is 7
--> 7 sides
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360/7 =~ 51.43 degs (for a regular polygon with 7 sides)
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