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a) In ▲RPQ and ▲RPS
RQ = RS [Given]
∠PRQ = ∠PRS [As PR is a angle bisector if ∠QRS, So ∠PRQ = ∠PRS ]
PR = PR [Common]
Hence ▲RPQ and ▲RPS are congruent by SAS congruency
b) In ▲RPQ and ▲RPS
PQ = PS [CPCT]
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