Answer

In the given figure, $\overrightarrow{P B}$ divides $\angle A P C$ in two parts and makes two angles $\angle A P B$ and $\angle C P B$.
So, $\angle A P C$ is greater than $\angle A P B$ and $\angle C P B$.
Therefore, $\angle A P C$ cannot be labelled as $\angle P$.

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