In the given figure, PQRS is a square and SRT is an equilateral triangle. What is the value (in degrees) of ∠SOR?

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SSC CGL Previous Paper 6 (Held On: 8 August 2017 Shift 3)
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  1. 45
  2. 55
  3. 60
  4. 75

Answer (Detailed Solution Below)

Option 4 : 75
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Detailed Solution

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We know that ∠QSR = ∠OSR = 90/2 = 45

Triangle STR is equilateral

⇒ ∠TRS = 60 and in triangle SOR

⇒ ∠SOR + ∠ORS + ∠RSO = 180

⇒ ∠SOR + 60 + 45 = 180

⇒ ∠SOR = 180 – 60 – 45

∴ ∠SOR is 75

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