Rectangle \(PQRS\) has \(QR=4\) and \(RS=7\). \(\triangle TRU\) is inscribed in rectangle \(PQRS\) with \(T\) on \(PQ\) such that \(PT=4\), and \(U\) on \(PS\) such that \(SU=1\).
Determine the value of \(\angle RUS+\angle PUT\).
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