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GMAT Exam  >  GMAT Questions  >  In the trapezium PQRS, QR || PS, ∠Q = 90&... Start Learning for Free
In the trapezium PQRS, QR || PS, ∠Q = 90°, PQ = QR and ∠PRS = 20°. If ∠TSR = θ, then the value of θ is:
  • a)
    75°
  • b)
    55°
  • c)
    65°
  • d)
    45°
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In the trapezium PQRS, QR || PS, ∠Q = 90°, PQ = QR and ∠PR...
In the given figure, 
PQ = QR and ∠PQR = 90° ⇒ ∠QPR = ∠QRP = 45°.
∴ ∠QRS = (45° + 20°) = 65°.
∴ θ = ∠QRS = 65° (alt. ∠s)
Hence, option C is correct.
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Most Upvoted Answer
In the trapezium PQRS, QR || PS, ∠Q = 90°, PQ = QR and ∠PR...
In the given figure, 
PQ = QR and ∠PQR = 90° ⇒ ∠QPR = ∠QRP = 45°.
∴ ∠QRS = (45° + 20°) = 65°.
∴ θ = ∠QRS = 65° (alt. ∠s)
Hence, option C is correct.
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In the trapezium PQRS, QR || PS, ∠Q = 90°, PQ = QR and ∠PRS = 20°. If ∠TSR = θ, then the value of θ is:a)75°b)55°c)65°d)45°Correct answer is option 'C'. Can you explain this answer?
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