SOLUTION: The sum of the measures of the interior angles of a polygon Is five times the sum of the measures of its exterior angles, one angle at each vertex. How many sides does the polygon

Question 564508: The sum of the measures of the interior angles of a polygon Is five times the sum of the measures of its exterior angles, one angle at each vertex. How many sides does the polygon have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of the measures of the interior angles of a polygon Is five times the sum of the measures of its exterior angles, one angle at each vertex. How many sides does the polygon have?
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The sum of the exterior angles is ALWAYS 360 degrees.
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So, sum of the interior angles is 5*360 = 1800 degrees.
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Let n be the number of sides:
Equation:
(n-2)180 = 1800
n-2 = 10
n = 12 sides
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Cheers,
Stan H.
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