As per given by the question,
There are given that a circle for finding the arc AD.
Now,
[tex]\angle APD=(7x+1)^{\circ}[/tex]And,
[tex]\angle CPB=(9x-7)^{\circ}[/tex]Then,
The total sum of the semicircle is 180 degree.
So,
[tex](7x+1)+(9x-7)=180^{\circ}[/tex]Then,
[tex]\begin{gathered} 7x+1+9x-7=180^{\circ} \\ 16x-6=180^{\circ} \\ 16x=180+6 \\ x=\frac{186}{16} \end{gathered}[/tex]So,
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