Advanced Geometric Problem & Solution (Twice a week update) Now 4632 problems posted.
<Tri-2023-2077>, hint
Triangles IKG and IKE are congruent and triangle IDG is isosceles
Hence <IEK=<IGK=<IDG , D,E,K,I are concyclic and I,D,C,E are concyclic
Hence <IKD=<ICD and Triangles ILK and CDI are similar.
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