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In the adjoing figure, m(arc NS) = 125^o m(arc EF) = 37^o , find ∠NMS.

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In the adjoing figure, m(arc NS) = 125o m(arc EF) = 37o , find ∠NMS.

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Chords EN and FS intersect each other externally.

∴ ∠ NMS = 1 / 2 × [m(arc NS) - m(arc EF)]

= 1 / 2 × (125 - 37)

= 1 / 2 × 88

= 44o

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