Answer :

In ∆STM,

S + T + M = 180


40 + STM + 90 = 180


STM = 180-130 = 50


STM = SON (these are opposite angles).


SON = 50


SON and OST are adjacent angles.


Hence, SON + NSO + NSM + MST = 180


50 + (180-(90 + 50)) + NSM + 40 = 180


NSM = 140-90


NSM = 50


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