SOLUTION: the measure of an exterior angle of an equiangular polygon is twice that of an interior angle. What is the name of the polygon?

Question 391488: the measure of an exterior angle of an equiangular polygon is twice that of an interior angle. What is the name of the polygon?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The measure of an exterior angle of an equiangular polygon is twice that of an interior angle. What is the name of the polygon?
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Let the interior angle be "x".
Then the exterior angle is "2x".
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Equation:
x + 2x = 180
3x = 180
x = 60 (interior angle)
2x = 120 (exterior angle)
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The sum of the exterior angles is 360 degrees.
# of exterior angles = 360/120 = 3
Therefore, # of sides is 3.
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The polygon is an equilateral triangle.
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Cheers,
Stan H.

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