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A B C D is a parallelogram, G is the ...

`A B C D` is a parallelogram, `G` is the point on `A B` such that `A G=2\ G B ,\ E\ ` is a point of `D C` such that `C E=2D E\ a n d\ F` is the point of `B C` such that `B F=2F Cdot` Prove that: `a r\ (A D E G)=\ a r\ (G B C E)`

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