<PRE><B>Question 209050</B>
The measure of each interior angle of a regular polygon is eleven times that of an exterior angle. How many sides does the polygon have?
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ext + int = 180
11x + x = 180
12x = 180
x = 15 degrees (exterior angle measure)
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The sum of the exterior angles = 360 degrees
# of exterior angles = 360/15 = 24
Therefore the number of sides is 24.
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Cheers,
Stan H.
Reply to stanbon@comcast.net
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