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I wrote in $x+23$ for DPC but then I'm stuck heres the image since I can't embed:

APB is congruent to DPC.

APB is $x+23$

BPC is $x$

BPD = $4x - 39$

Which can be seen here: enter image description here

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    Edited and explained.2012-07-01

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HINT: BPC + CPD = BPD. So we have that $2x + 23 = 4x - 39$. Solve for $x$.

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    @Michael I believe that is the case.2012-07-01