Have you ever mad an angle cut on the miter saw, perhaps just a simple 45, and when you went to use it you would swear the saw didn't cut straight? The angle was off, or even looked curved. Guess what, you were probably right.
There is an important thing to keep in mind when using a power miter saw. The rotation of the blade puts pressure on your wood. When the saw is square the rotation of the blade pushes the wood directly back into the saw. However, as soon as you tip or turn your blade the saw no longer pushes perpendicular to the back fence or the table. It is now pushing at an angle. This makes the stock want to travel along the fence a bit. The sharper the angle the more prominent this becomes. Without care your angle cuts will be off.
So what is the solution? First, most saws come with a built in clamping mechanism. Securely clamping your piece in place is the best bet. Yet, I find these clamps awkward and time consuming. The solution that will bring you the most mileage is much simpler. Hold the piece firmly, take your time, and make sure you have a sharp blade in your saw. A proper grip on the work piece will ensure that it won't carry. Also, remember that the faster you cut the more pressure the saw will put on the wood. Never ram your saw through your work. Take your time and let the saw do the work. Finally, an old dull blade radically increases the angular pressure on your work. A good sharp blade will ease its way through the wood. With these simple practices you can ensure that your angle cuts are truer every time.