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    Question

    Angles of a triangle are in the ratio 3 : 4 : 8. Find

    the measure of the largest angle of the triangle.
    A 80° Correct Answer Incorrect Answer
    B 96° Correct Answer Incorrect Answer
    C 100° Correct Answer Incorrect Answer
    D 120° Correct Answer Incorrect Answer

    Solution

    Let the measure of the angles of the given triangle be '3x°', '4x°', and '8x°', respectively. Sum of angles of a triangle = 3x + 4x + 8x = 180° So, x = (180°/15) = 12° Therefore, the largest angle of the triangle = 8x = 8 × 12° = 96° Hence, option b. 

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