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Lines and Angles Test - 7

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    The angles of a triangle are in the ratio 2 : 3 : 4. Find the measure of the smallest angle.

    Solution

    Given angles of a triangle are in ratio 2 : 3 : 4.
    Sum of angles of a triangle is 180o.
    Let the angles of a triangle be 2x, 3x and 4x.
    So, 2x + 3x + 4x = 180o or 9x = 180o ⇒ x = 20o
    So, the smallest angle of a triangle is 2x or 2(20o) = 40o.

     

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