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Step-by-step explanation:
angle STM =180- (90+40) = 180-130= 50
angle SON = LTS = 50
since in parallelogram the adjacent angles are supplementary
angle TSO = 180-50= 130
now MSO = 130-40= 90
in triangle NSO =180- (90+50) = 180-140 =40
now NSM = MSO-NSO =90-40 =50
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