<Tri-2023-2053> hint

<FEC=<FGC=<B so, F,G,E,C are concyclic. <EFG=<ECG .

Since  <FGC=<B=<AIC, so, AICG are concyclic  <GCA=<GIA. Hence<GFH=<GIH

F,G,H,I are concyclic.

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