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MathNet 2021 — Part 08 Question 94

Math Olympiad Vault · MathNet 2021 — Part 08

Question 94

Let $ABC$ be a triangle with $AB = AC$ and $\angle BAC = 20^{\circ}$. Let $D$ be the point on the side $AB$ such that $\angle BCD = 70^{\circ}$. Let $E$ be the point on the side $AC$ such that $\angle CBE = 60^{\circ}$. Determine the value of the angle $\angle CDE$.