# Zack vs Cody

Geometry Level 3

Who is the liar?

Zack: It is possible to construct an 18-sided irregular polygon whose angles are equal to each other and whose side lengths are all rational.

Cody: It is possible to construct a $$17 = 2^{2^2} + 1$$ sided irregular polygon whose angles are equal to each other and whose side lengths are all rational.

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