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Math help please?....?

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< ABC is bisected by ray BD. If m< ABD = (7x + 2) and m< DBC = (4x + 11), find the value of x

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  1. note

    since ray BD bisects then the two angles must be equal

    so

    7x + 2 = 4x + 11

    3x + 2 = 11

    3x = 9

    x = 3


  2. Since the angle is bisected, the two resulting angles are equivalent.  Therefore, the measure of ABD = the measure of DBC.

    7x + 2 = 4x + 11

    3x = 9

    x = 3

    And theres your answer.
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