As others have said, a trap is one way to implement system calls. It's literally the TRAP mnemonic on a 68000.

https://www.nxp.com/docs/en/reference-manual/M68000PRM.pdf see page 292, also see page 629 for the table of "exception vectors" (addresses for code to handle each specific trap/exception/interrupt)

Most processors support both "interrupts" (an external peripheral is banging on the CPU's interrupt pins... but also invocable from software; software interrupts; SWIs; INT instruction on x86) and "exceptions" (e.g. divide by zero, bus error, illegal instruction). Depending on the processor, accessing the "privileged" mode can be done either by software interrupts, exceptions, or both. An operating system should pick one and stick with it.

Other uses for interrupt/exception/trap vectors include hardware breakpoints: don't try and single-step the CPU, overwrite the code with an illegal instruction and control will flow to the illegal instruction handler where you can see all the registers then execute the real instruction that was meant to be there and return to where you left off. Some CPUs have a formal "BKPT" type instruction for that.

One other use on the 68000 is that any unrecognised instruction that started $Fxxx triggered the F-line handler; all the floating point instructions were in the form $Fxxx, so if you didn't have an FPU, you could put a software emulator for the FPU instructions in the F-line handler and software wouldn't know the difference. Traps/exceptions don't have to be a jump from unprivileged to privileged, they can just be utilitarian.