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Answer :
Final answer:
A regular polygon with n sides maps directly onto itself after rotating 360 degrees (one full rotation). The polygon in question maps onto itself after rotating 20 degrees, so it has 18 sides.
Explanation:
A regular polygon with n sides maps directly onto itself after rotating 360 degrees (one full rotation). Since the polygon in question maps onto itself after rotating 20 degrees, we can find the number of sides by dividing 360 by 20. Therefore, the polygon has 18 sides.
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