Circle tells the area again

Geometry Level pending

A , B , C , D A,B,C,D are 4 points on a 2-dimensional plane such that A C R = A D S = A B T \angle ACR=\angle ADS=\angle ABT . C R , D S CR,DS intersect at G G ; D S , B T DS,BT at E E and C R , B T CR,BT at F F . Points A , E , F , G A,E,F,G are concyclic. If B D D C = 1.5 \frac{BD}{DC}=1.5 ), where B C > B D > C D BC>BD>CD and the area of the figure A B C D ABCD equals 100; then what is the area of the triangle A B D ABD ?


The answer is 60.

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