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MathNet 2013 Question 12

Math Olympiad Vault · MathNet 2013

Question 12

Points $X$ and $Y$ are marked on the sides $AB$ and $AD$ of the convex quadrilateral $ABCD$ respectively.
Find $AX : BX$ if $CX \parallel DA$, $DX \parallel CB$, $BY \parallel CD$, $CY \parallel BA$.