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If a line drawn from one point of a triangle divides opposite side in ratio $1:2$ then in what ratio angle is divided by line?

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    In general, the information about the division ratio of the opposite side, by itself, does not give enough information to determine the division ratio of the angle.2011-08-03
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    A simple illustration of the preceding comment: consider the median from the right angle of a right-angle triangle. It divides the hypotenuse in 1:1 ratio, but it divides the angle in the same ratio as the ratio of the two non-right angles, which can be any positive number.2011-08-03
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    @Gerry: in fact generally it is not a ratio of the angles but a slightly more involved formula with sin() of the angles.2011-08-03

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