If the broken edges fit very well together, I would use cyanoacrylate (super glue) to mate them. Since CA sticks poorly to polyolefins and acetal, you may want to make sure your glasses are the right material by gluing something small like a piece of wood to a spot near the back and seeing how much effort it takes to break it off. This test will also help you verify the glue is good, not a bad brand or a bad batch. Better brands do tend to have fewer quality issues, but the core ingredient of every CA glue is pretty much the same. For both the test and the break, it will be beneficial to wipe away oils with rubbing alcohol or lighter fluid.
If the glue is a water-thin type, set up the glasses and optionally use tape to hold everything in place. Put less than a drop of glue onto each crack so it wicks into the space.
If the glue is thickened, you'll need to apply as little as you can to each break, perhaps using a toothpick. Wear gloves, put it together and hold it for 30 seconds. It you stick yourself to the glasses, use vegetable oil and a screwdriver to slowly pry yourself off. Don't get acetone on the glasses.
The glasses will be strong enough to wear within an hour. You still need to treat them gently, since they could break at the same place. If you already contaminated the joint with gorilla glue (horrible stuff), this repair may still work since CA sticks to damn near anything, but it will always be a weak joint since the gorilla glue can tear.