In the given figure, PR = QR, Angle PRA = Angle QRB and angle BPR = angle AQR.
Prove that BP=QA
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Here,
In ∆s PBR and QRA
PR=QR (given)
<BPR=<AQR (given)
<PRB=<<ARQ(addition of same angles with equal angle will also be equal)
∆PBR ≅ ∆ QRA
Therefore,
PB = AQ ( corresponding sides of equal triangles)
Hence, proved
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