Can the Tangents help?

Geometry Level 3

In the diagram below, line segments \(STM\) 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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