Advanced Geometric Problem & Solution (Twice a week update) Now 4632 problems posted.
<Tri-2025-2233>, hint
ASTC are concyclic, <TSP=<TSC=30, <STP =<SCA=60, <SPT=90. Hence ST/PT=2/1
<STB=<SAC=40 Hence <BST=70=<ABC, BT=ST=2PT.
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