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angle PAR=x
angle QAR+angle PAR= 180 ( Linear pair )
angle QAR=180-x
angle RBP= y
angle QBP + angle RBP=180
Angle QBP= 180-y
=180- x ( since x= y )
In triangle QBP and triangle QAR
triangle QBP= triangle QAR( proved above)
angle PQB= angle RQA ( common )
PQ = QR ( given)
by A.A.S congruency
triangle QBP= QAR
so by CPCT, AR= PB
angle QAR+angle PAR= 180 ( Linear pair )
angle QAR=180-x
angle RBP= y
angle QBP + angle RBP=180
Angle QBP= 180-y
=180- x ( since x= y )
In triangle QBP and triangle QAR
triangle QBP= triangle QAR( proved above)
angle PQB= angle RQA ( common )
PQ = QR ( given)
by A.A.S congruency
triangle QBP= QAR
so by CPCT, AR= PB
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