SOLUTION: the measure of an interior angle of a regular n gon is 140 degrees, how many sides are in the regular polygon? thanks

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Question 633225: the measure of an interior angle of a regular n gon is 140 degrees, how many sides are in the regular polygon?
thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the measure of an interior angle of a regular n gon is 140 degrees, how many sides are in the regular polygon?
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The corresponding exterior angle must be 180-140 = 40 degrees
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The sum of ALL the exterior angles is ALWAYS 360.
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# of exterior angles = 360/40 = 9
Therefore, # of sides = 9
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Cheers,
Stan H.
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