# 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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