SOLUTION: in a regular polygon,each interior angle is greater by 140 degrees than each exterior angle. calculate the number of sides of the polygon
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Question 513975: in a regular polygon,each interior angle is greater by 140 degrees than each exterior angle. calculate the number of sides of the polygon
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The measure of an interior angle in a regular 
-gon is given by 180}{n})
. The measure of the exterior angle of a regular -gon is given by 
. We are given that the difference is 140 degrees, so:
180}{n}\ -\ \frac{360}{n}\ =\ 140)
Solve for .
John
My calculator said it, I believe it, that settles it
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