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in this
PQS=QRS
Q=S
THEY ARE ALTERNATE ANGLES
Q AND S ID A COMMON LINE
SO THUS ,
PQS ≅ QRS
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by ASA Congruency
angle RQS = angle PSQ ( Alternate interior angle )
QS = QS ( same base )
angle PQS = angle RSQ ( Alternate interior angle )
therefore ∆PQS ~ ∆RSQ ( by ASA criteria )
{ASA means Angle Side Angle}
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