inscribed angles, arcs, etc relations help needed

[chabos]

Sorry about this, I know I'm not supposed to post a straight up problem, but I really just don't understand any thing here. Any way, I have a home work assignment and related test that involves the relations between circles, arcs, cords, tangent lines, secants, angles, etc. I get it when I know the center (usually), but on a problem like this I get stuck. Since its too hard to describe as its a really complicated figure, I'll put a link to a Flickr page with a scanned version of the problem. If the photo is too small, hold ctrl and zoom in with the mouse wheel. Thanks guys.
http://www.flickr.com/photos/49709988@N03/4561860989/?eOrig=4562481378

 

[BigGlenntheHeavy]

$\displaystyle Here \ is \ what \ I \ got.$

$\displaystyle 1. \ 80^0$

$\displaystyle 2. \ 80^0$

$\displaystyle 3. \ 90^0$

$\displaystyle 4. \ 55^0$

$\displaystyle 5. \ 55^0$

$\displaystyle 6. \ 90^0$

$\displaystyle 7. \ 65^0$

$\displaystyle 8. \ 80^0$

$\displaystyle 9. \ 290^0$

$\displaystyle 10. \ 35^0$

$\displaystyle 11. \ 15^0$

 

[chabos]

Thanks, but how?

 

[BigGlenntheHeavy]

$\displaystyle Use \ the \ properties \ of \ geometry \ to \ figure \ them \ out.$

$\displaystyle See \ if \ you \ get \ the \ same \ answers.$