Using proportions, it is found that the degree of rotational symmetry for a regular dodecagon is of 30º.
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
For degree of rotational symmetry for a regular polygon of n sides is given by:
360º/n.
A dodecagon has 12 sides, hence:
360º/12 = 30º.
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