Question Number 102918 by otchereabdullai@gmail.com last updated on 11/Jul/20

Commented bybramlex last updated on 12/Jul/20

Commented byotchereabdullai@gmail.com last updated on 14/Jul/20

thanks for ur time sir !

Answered by som(math1967) last updated on 11/Jul/20

∠QTS=∠SPQ=52° ★  ∴∠QPS=180−52=128°■  ∠RQS=∠RSQ=((180−128)/2)=26°■■  ∠RSQ=∠SQT=26° ans  ∠SQP=90° [semicirular  angle]  ∴∠PQT=∠SQP−∠SQT  =90−26=64°ans  ★subtain on same segment  ■PQRS cyclic  ■■QR=RS

Commented byotchereabdullai@gmail.com last updated on 11/Jul/20

God  bless you sir! Am much greatful  for your time