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We know that adjacent angles in linear pair measure 180°.
PQR+PQS = 180°
PRQ+PRT = 180°
In both equations, RHS is same therefore,
PQR+PQS = PRQ+PRT
PQR+PQS = PQR+PRT
PQS = PRT
PQR+PQS = 180°
PRQ+PRT = 180°
In both equations, RHS is same therefore,
PQR+PQS = PRQ+PRT
PQR+PQS = PQR+PRT
PQS = PRT
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