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Alexandra and Maris are playing a game where they guess how many sides the regular polygon the other is holding has. Alexandra says her regular

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Alexandra and Maris are playing a game where they guess how many sides the regular polygon the other is holding has. Alexandra says her regular polygon hasexactly 12 lines of symmetry. Maris says her regular polygon has an angle of rotational symmetry of 24°. How many sides does each regular polygon have?

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