SOLUTION: How many diagonals can be drawn in the interior of a regular polygon if one of its exterior angles contain 60 degrees?

Question 781385: How many diagonals can be drawn in the interior of a regular polygon if one of its exterior angles contain 60 degrees?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many diagonals can be drawn in the interior of a regular polygon if one of its exterior angles contain 60 degrees?
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Sum of exterior angles = 360 degrees.
# of exteror angles = # of sides = 360/60 = 6
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# of sides + # of diagonals:: 6C2 = 15
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# of diagonals = 15-6 = 9
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Cheers,
Stan H.
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