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MathNet 2026 — Part 03 Question 44

Math Olympiad Vault · MathNet 2026 — Part 03

Question 44

Be an isosceles trapezoid with $AD \gt BC$ $ABCD$. Let $X$ be the intersection of the angle bisectors of $\angle BAC$ and $BC$. Let $E$ be the intersection of $DB$ with parallels to the angular bisector of $\angle CBD$ by $X$ and be $F$ the Intersection of $DC$ with parallels to the angular bisector of $\angle DCB$ by $X$. Show that $AEFD$ is a quadrangle of tendon.