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Omni-MATH / Two sides of a regular n-gon are extended to meet at a 28^(∘) angle. What is the smallest possible value for n?

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problem

Two sides of a regular nn-gon are extended to meet at a 28∘28^{\circ} angle. What is the smallest possible value for nn?
Plain-text mathematical notation (without MathML)
Two sides of a regular n-gon are extended to meet at a 28^(∘) angle. What is the smallest possible value for n?
Original LaTeX notation
Two sides of a regular $n$-gon are extended to meet at a $28^{\circ}$ angle. What is the smallest possible value for $n$?

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