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Q.

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∠STM = ?

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a

∠STM = 90°

b

∠STM = 75°

c

∠STM = 95°

d

∠STM = 100°

answer is C.

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Detailed Solution

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Sum of all angles in a quadrilateral = 360°

∠STM+ ∠MIS + ∠TMI + ∠IST = 360°
90° + 110° + 65° + ∠STM = 360°
∠STM = 360° - 265° 
∠STM = 95°

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