SOLUTION: In a regular polygon, the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 6 to 1. How many sides does the polygon have?

Question 965914: In a regular polygon, the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 6 to 1.
How many sides does the polygon have?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
In a regular polygon, the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 6 to 1.
How many sides does the polygon have?
===============
Ext = 6*Int
Ext + Int = 180
Int = 180/7
Ext angle = 1080/7
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n = 360/Ext
n = 14 sides

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