SOLUTION: The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?
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Question 335576: The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. How many sides does the polygon have?
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x + 14x = 180
15x = 180
x = 12 degrees (this is the exterior angle)
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Fact: The sum of all the exterior angles is 360 degrees.
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# of exterior angles = 360/12 = 30
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# of sides = # of exterior angles = 30
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Cheers,
Stan H.
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