2022 IMO Problems/Problem 4
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Problem
Let be a convex pentagon such that . Assume that there is a point inside with , and . Let line intersect lines and at points and , respectively. Assume that the points occur on their line in that order. Let line intersect lines and at points and , respectively. Assume that the points occur on their line in that order. Prove that the points lie on a circle.
Solution
https://www.youtube.com/watch?v=-AII0ldyDww [Video contains solutions to all day 1 problems]