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In figure 3.60, m(arc NS) = 125°, m(arc EF) = 37°, find the measure ∠NMS.

In figure 3.60, m(arc NS) = \(125^\circ\), m(arc EF) = \(37^\circ\), find the measure \(\angle NMS\).

Figure: M is outside the circle. Secant M–E–N and secant M–F–S are drawn from M; arc EF is the arc nearer to M and arc NS is the farther arc.

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