SOLUTION: Pls help me to solve this ques. An exterior angle of a regular polygon is one- fourth of its interior angle. Find the number of sides in the polygon.

Algebra ->  Polygons -> SOLUTION: Pls help me to solve this ques. An exterior angle of a regular polygon is one- fourth of its interior angle. Find the number of sides in the polygon.       Log On


   

Question 1045492: Pls help me to solve this ques.
An exterior angle of a regular polygon is one- fourth of its interior angle. Find the number of sides in the polygon.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
An exterior angle of a regular polygon is one- fourth of its interior angle.
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Ext + Int = 180
Ext = Int/4
Solve for Ext
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Ext = 36 degs
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Find the number of sides in the polygon.
360/36 = 10 sides
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