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Omni-MATH / A regular n-gon P₁P₂…P_(n) satisfies ∠P₁P₇P₈=178^(∘). Compute n.

Problem

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problem

A regular nn-gon P1P2…PnP_{1} P_{2} \ldots P_{n} satisfies ∠P1P7P8=178∘\angle P_{1} P_{7} P_{8}=178^{\circ}. Compute nn.
Plain-text mathematical notation (without MathML)
A regular n-gon P₁P₂…P_(n) satisfies ∠P₁P₇P₈=178^(∘). Compute n.
Original LaTeX notation
A regular $n$-gon $P_{1} P_{2} \ldots P_{n}$ satisfies $\angle P_{1} P_{7} P_{8}=178^{\circ}$. Compute $n$.

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