Question 1123404
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From the condition, you have


the measure of the angle ABC = two times the measure of the angle ABD.


In terms of "x" it means


    9x = 2*(4x + 13)

    9x = 8x + 26

    x = 26  degrees.


Then the measure of the angle DBC = 4x + 13 = 4*26 + 13 = 117 degrees.


<U>Answer</U>.  The measure of the angle DBC is 117 degrees.
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Solved.