Question 135203
the sum of the measures of the interior angles of a polygon is between 2100 and 2400. how many sides does the polygon have? thanks..
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The number of sides is n where (n-2)*180 = sum of interior angles.
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INEQUALITY:
2100 <= (n-1)*180 <= 2400
35/3 <= n-1 <= 40/3
Add one along the line to get:
38/3 <= n <= 43/3
12 2/3 <= n <= 14 1/3
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since n is a whole number, n = 13 or 14
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Cheers,
Stan H.