SOLUTION: The sum of the measures of the interior angels of a regular polygon is 20 times the square of the number of sides. What kind(s) of polygon(s) could this be?
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Question 459134: The sum of the measures of the interior angels of a regular polygon is 20 times the square of the number of sides. What kind(s) of polygon(s) could this be? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of the measures of the interior angels of a regular polygon is 20 times the square of the number of sides. What kind(s) of polygon(s) could this be?
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Equation:
(n-2)*180 = 20n^2
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20n^2 -180n + 360 = 0
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n^2-9n+18 = 0
(n-3)(n-6) = 0
n = 3 or n = 6
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The polygon has 3 sides (equilateral triangle)
or it has 6 sides (hexagon).
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Cheers,
Stan H.
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