Just remember they (teens) are not in their right mind. At times when my kids have behaved irrationally - shutting me out, acting impulsively, crying or yelling for no reason, I just repeat this manta "their frontal lobes aren't fully developed yet" and this helps me not take it all too seriously or personally.
In all seriousness, even when teens are at their worst there's a part of them that still wants to be a kid and be loved unconditionally. They do tend to ping pong back and forth between sounding incredibly grown up and then wanting to watch "Happy Feet" with you. I've found that hanging in there and waiting for those "Happy Feet" moments is often the best approach. It gets easier as they approach college and beyond. That's when you see that it was all worth it!
Best wishes,
a mom of three - ages 20, 16, 13