TS Geometry I - III

Geometry II - Ink Pen 

I've been trying to prove that α = ß + γ. It's a little math puzzle that Martin Gardner originally came up with. As I love geometry I thought it would be easy to prove without using trigonometry, however I have been stuck on it for a couple of days now. Yesterday I only tried to make a picture out of it (see above) but then got sucked back into solving it, which I did below. Apparently my solution is not the one Gardner used and mine is (unfortunately) less elegant. 

Geometry III - Ink Pen, Pencil

And while I was taking a brain break from solving the puzzle I was just doodling around, free hand without rulers.

Geometry I - Ink Pen