I wonder if these two breakers have incorrectly been wired to service a 220/240 volt device (which should be on a double breaker rather than two singles), which itself is experiencing a fault? Are all your 240 volt appliances working correctly, such as the dryer, range and AC?
It's definitely a bad wiring job regardless, because it is code that the breakers in the panel be labelled so you should have a rough idea of what they control.
There shouldn't be a fire or safety risk as long as the breaker remains tripped. It's doing its job by isolating the fault. You could flip both off to be sure until you get the problem fixed.