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?
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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.