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