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  1. The ratio of angles of a triangle is 3 : 5 : 7. What is the difference between double the smallest angle and half of the largest angle?
  2. A.

    25

    B.

    36

    C.

    38

    D.

    30

    E.

    None of these

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    Answer : Option D

    Explanation :

    Let the angles be 3x, 5x and 7x respectively

    3x + 5x + 7x = 180

    => 15x = 180

    => x = 180/15

    => x = 12

    Smallest angle = 3 * 12 = 36 degrees

    Largest angle = 7 * 12 = 84 degrees

    Required difference is 2 * 36 - 84/2 = 72 - 42

    =  30 degrees


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