SOLUTION: In a regular polygon with n sides each exterior angle is 180-360/n degrees. How many sides does a polygon have if each interior angle is 156 degrees?

Question 975034: In a regular polygon with n sides each exterior angle is 180-360/n degrees. How many sides does a polygon have if each interior angle is 156 degrees?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
In a regular polygon with n sides each exterior angle is 180-360/n degrees. How many sides does a polygon have if each interior angle is 156 degrees?
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In a regular polygon with n sides each exterior angle is 180-360/n degrees.
That's not correct.
Each Ext angle = 360/n
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How many sides does a polygon have if each interior angle is 156 degrees?
Ext angles = 180 - 156 = 24
360/24 = 15 sides.
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