Look at the Samsung netbooks, I have one that has a matte LED screen, the screen doesn't go all the way back to 180 degrees but I've never personally seen a laptop that does (not that I check), the battery is 10+ hours probably more if your just reading.
Mine an older one nf110 with the ram maxed out, it's a nice little machine I use quite a lot but I couldn't imagine reading on it for long.
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