Asked by Mokona

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

Answers

Answered by Reiny
exterior angle of a polygon with n sides is 360/n
inside angle is 180(n-2)/n

so 360/n = 2(180)(n-2)/n
360 = 360n - 720
360n = 1080
n = 3

looks like an equilateral triangle

check: inside angle = 60 degrees
exterior angle is 120 degrees
YUP
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