What is the angle of rotation about the center that will map the regular pentagon onto itself

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asked Nov 21, 2018 222k views

2 Answers

Ben Vitale · Answer 1 · 2018-11-25T13:31:58+0000

The answer is 180 degrees. The rotation that maps one side to an adjacent side is 360°/6 = 60°. This is the least rotation that plots the regular hexagon to the aforementioned. In the least whole number of these minimum rotations, such as three 60° rotations to make 180°, will retain the hexagon identical.

What is the angle of rotation about the center that will map the regular pentagon onto itself

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