You made a big mistake and you probably realize it now. What you did has killed more than one Boisean.

NEVER TAKE THE INTERSECTION UNTIL YOU ARE CERTAIN YOU HAVE A CLEAR PATH OF TRAVEL

Stand back from the intersection and advance when you can see what vehicles are doing clearly.

You have a 190 degree field of vision nominally (without ocular disease)--sweep left and right by turning your head to pick out traffic and other hazards FREQUENTLY. Mirrors are not the complete answer as while they are very helpful they aren't at 1:1 for judging distance (much like the passenger mirror in a car that states Objects May Be Closer Than They Appear).

Those who cite a car as being a two-ton COCOON tend to qualify your safety equipment in a similar manner.

Remember: The best safety equipment ever is YOUR BRAIN. Engage it fully and keep from being complacent.