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Answer :

Triangle APC is similar to triangle YKM

[tex]\frac{3x+11}{12}=\frac{2x-9}{32}[/tex][tex]\begin{gathered} 32(3x+11)=12(2x-9) \\ 96x+352=24x-108 \\ 96x-24x=-352-108 \\ 72x=-460 \\ x=-6.38 \end{gathered}[/tex]

I was calculating this question. However, there is an inconsistency in the APC triangle. No side can be larger than the hypotenuse in a triangle.