<Qua-2024-729>, hint

ADCP are concyclic , <DPA=<DCA=y and <DAC=<DPC=x

C,E,L,M are concyclic, , <EML=<ECL=x  <BKL=<ACL=x. Hence BLMK are concyclic

<BMK=<BLK=y,  <KLM=<KBM=<ABD=<CDB=<CAP=z

Hence triangles CAP and KLM are similar