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A 12-gon has 24 diagonals. This can be reasoned as follows:
The number of diagonals in a polygon can be found by the formula (n-3)(n-2)/2, where n is the number of sides of the polygon. In this case, n=12, so (12-3)(12-2)/2 = 24. Therefore, a 12-gon has 24 diagonals.