SOLUTION: The diagram shows 3 sides of a regular polygon. Each interior angle of the regular polygon is 140 degrees, work out the number of sides of the regular polygon.

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Question 612390: The diagram shows 3 sides of a regular polygon.
Each interior angle of the regular polygon is 140 degrees, work out the number of sides of the regular polygon.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Look at this URL
http://www.mathsisfun.com/geometry/interior-angles-polygons.html
Read it and see how one can build on what you know about triangles and extend that into the general rule.
In your specific case,
%28%28n-2%29%2A180%29%2Fn+=+140
So simplify and solve for n