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Hi richrc1131

When in a straight picture or any shape, all the pixels are next to each other or underneath one to another in a straight line, so you can see a straight and smooth line or stroke around it right.

When you rotate the object Photoshop needs to make up these "straight"  lines by deciding whether a pixel will be black or white, that's when you may see a jagged or fractured line, but that will be noticeable only if your zoom ratio is pretty high.

If you want to a really smooth lines you need to use vector based software like Illustrator because Illustrator doesn't treat images as pixels but vectors which is a mathematical interpretation of a pixel, 

Difference Between Pixels and Vectors

If you are not enlarging the image to print it will likely  not be noticeable so make sure you produce your final work at the size that you  will be printing it at. 

Also the higher the resolution, the less  noticeable this pixelated or fractured effect will be.

Hope this helps.