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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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