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MathNet 2017-part-02 — 176 problems (EN–VI) Question 159

Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)

Question 159

Points $D$ and $E$ divide side $[A B]$ of an equilateral triangle into three equal parts, in such a way that $D$ lies between $A$ and $E$. Point $F$ lies on $[B C]$ so that $C F = A D$. Compute the sum of the angles $\widehat{C D F} + \widehat{C E F}$.

Question illustration