(C) The structure of $P_4O_{10}$ consists of a tetrahedral arrangement of four phosphorus atoms.Each phosphorus atom is bonded to one terminal oxygen

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(C) The structure of $P_4O_{10}$ consists of a tetrahedral arrangement of four phosphorus atoms.Each phosphorus atom is bonded to one terminal oxygen atom via a double bond $(P=O)$.There are six oxygen atoms that act as bridges between the phosphorus atoms, forming $P-O-P$ linkages.Therefore, the total number of bridging oxygen atoms is $6$.