The 8085 microprocessor uses several addressing modes to specify the operands in instructions. These include implied, immediate, direct, register, and register indirect addressing modes. Implied addressing mode does not specify operands as they are implicit in the instruction. Immediate addressing mode embeds the operand in the instruction itself. Direct addressing directly specifies the memory location of the operand. Register addressing uses register operands. Register indirect addressing specifies the operand address using a register pair like the HL register.