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MathNet 2026 — Part 05 Question 120

Math Olympiad Vault · MathNet 2026 — Part 05

Question 120

A square $ABCD$ is inscribed in a circle. Let $E$ be the midpoint of $AD$. The line $CE$ meets the circle again at $F$. The lines $FB$ and $AC$ meet at $G$ and the line $GE$ meets the arc $AFD$ of the circle at $K$.
Find, with proof, the measure of $\angle KAD$.