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Rotating an Image around Z-Axis (2D)

I have a 2D game, and I have an Image on a Canvas. I read the online docs, and read a few help posts on this topic, but I must admit to being confused as to why something that should be trivial eludes me. Unity provides about a dozen ways to Rotate something, and the docs intermix terms like Euler Angles and degrees, none of which makes any sense to me. In a script, I simply want to change the Z component of the Rotation in this Rect Transform to read 45. See the image below. Tell me what the script is to make the highlighted cell read 45. Hopefully before I lose my mind. Bonus points if you can explain what the heck a Euler Angle actually is, because I clearly do not understand it. G![alt text][1] [1]: /storage/temp/46001-screen-shot-2015-05-07-at-53615-pm.png

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