Q25 of 35 Page 3

In parallelogram LOST, SN Ol and SM LT. Find STM, SON and NSM.

⟹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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