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
    
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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