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      Question

      IJK is an isosceles triangle in which IJ = IK. The value

      of ∠ IJK is what percentage less than 120°, if ∠ JIK=60°.
      A 52% Correct Answer Incorrect Answer
      B 55% Correct Answer Incorrect Answer
      C 54% Correct Answer Incorrect Answer
      D 50% Correct Answer Incorrect Answer

      Solution

      According to question, IJ = IK ZIJK = ∠ IKJ Now, in AIJK, we have: ∠ JIK + ∠ IKJ + ∠ IJK = 180° 60° + ∠ IJK + ∠ IJK = 180° 2(IJK)= 120° IJK = 120°/2 = 60° Hence, ∠ IJK = 60° Now, Percentage from which ∠ IJK = 60° is less than 120° =(120°~60°) /120° × 100 =60°/ 120° × 100 = 50%

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