Obviously papers differ but I don't remember this sort of trap when I sat the nav exam a few months ago.
I got 100% and don't remember having any serious doubt about the correct answer based on my protractor work although I'm sure I was the odd 1 degree off here and there.
If it really came out that way one possible escape would be to reverse engineer the answers - so in your example you could take the 46 answer and work out what track angle that would correspond to on the map, and then do the same with the 44 answer. Then when you look at the actual map you should have a better idea of which angle is more likely...