Can the Tangents help?

Geometry Level 3

In the above figure, \(STM\) and \(MQ\) are tangents to the circle at \(T\) and \(Q,\) respectively. \(C\) is the center of the circle and does not lie on \(QS.\) If \(SRQ\) is a straight line, \(SR=TR\) and \(\angle TSR=25^\circ,\) what is \(\angle QMT\) in degrees?

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