If angle PQR = angle PRQ, then prove that angle PQS = angle PRT.
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Here is your answer
In triangles PQR
Angle PQR + angle PQS = 180°...... (LINEAR PAIR)..........eq( i)
and angle PRQ + angle PRT = 180° ..........(linear pair)........eq (2)
Comparing eq 1 and 2 since RHS = RHS
therefore, angle PQR + PQS = angle PQR + PRT
Therefore angle PQR Cancellout angle PQR In RHS
then angle PQS = PRT
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