Look at the figure shown below.
Triangle SQR is an obtuse angled triangle. Side SQ of the triangle is extended till T so that SQ is equal to QT. P is a point above point R. Points Q and P and points Q and R are joined using straight lines. Angle PQS is equal to angle TQR. Angle QSR is equal to angle QTP.
A student made the table shown below to prove that PQ is equal to RQ.

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