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Angle ABD = 4x - 4

Angle ABC = twice angle ABD = 7x + 4

So 7x + 4 = 2*(4x - 4) = 8x - 8

So x = 12

Then angle DBC = half of angle ABC = 1/2*(7*12 + 4) = 1/2*88 = 44 degrees.

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Q: Ray BD bisects angle ABC. The measure of angle ABD is represented by 4x-4 and the measure of angle ABC is represented by 7x plus 4. Find the measures of angle DBC.?
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