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Pentagon Rotation Puzzle

pentagon' is pentagon rotated around point O. Use the slider and change the angle of rotation until pentagon' and pentagon are in the same position. Hint: you can use the -1 and the +1 buttons to more precisely control the angles.

What angles of rotation result in pentagon' being in the exact same location as pentagon?

What are the interior angles of a regular pentagon?

What are the exterior angles of a regular pentagon?