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MathNet 2026 — Part 06 Question 143

Math Olympiad Vault · MathNet 2026 — Part 06

Question 143

Let $ABCDE$ be a pentagon with $|AB| = |BC| = |CD| = |DE| = 1$, $\angle ABC = \angle CDE = 120^\circ$ and $\angle BCD = 100^\circ$. Determine whether $|EA|$ is smaller, equal or larger than 1.