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Home » Pour un polygone régulier, chaque angle interne est de 1260 / 9 = 140 degrés. - Midis

Pour un polygone régulier, chaque angle interne est de 1260 / 9 = 140 degrés. - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Use the Chinese Remainder Theorem. Let $ L = 7k $. Substitute into the second congruence:

📌 7k \equiv 1 \pmod{13}

📌 We solve for $ k $: find the modular inverse of 7 modulo 13.

📌 $ 7 \cdot 1 = 7

📌 $ 7 \cdot 2 = 14 \equiv 1 \pmod{13} $

📌 So $ 7^{-1} \equiv 2 \pmod{13} $

📌 k \equiv 2 \pmod{13} \Rightarrow k = 13m + 2

📌 Then $ L = 7k = 7(13m + 2) = 91m + 14 $

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