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In ∆PQS and ∆RQS,
QP=QR( equidistant chords are equal in
length)
angle QPS=angle QRS(angle in a semi circle is
always 90°)
QS=QS(common)
Therefore,∆PQS and ∆RQS are congruent
(by R-H-S congruency
angle PQS=angle RQS(by c.p.c.t)
Therefore,angle PQR is bisected.[proved]
angle PSQ=angle RSQ(by c.p.c.t)
Therefore,angle PSR is bisected.[proved]
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