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      Question

      O is the centre and the arc PQR subtends an angle of

      240° at O. PQ is extended to A. Then ∠AQR is: 
      A 180° Correct Answer Incorrect Answer
      B 60° Correct Answer Incorrect Answer
      C 240° Correct Answer Incorrect Answer
      D 120° Correct Answer Incorrect Answer

      Solution

      ATQ,

      Arc PQR at centre = 240° ⇒ Minor arc PR = 360 − 240 = 120° ∠PQR = ½ × 120 = 60° ∠AQR (external, as PQ is extended) = 180 − 60 = 120°

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