is C the center? (so the radius would be 10)?

if so, AC = AG + GC, where GC is the radius

we can find AB using Pythagoras' theorem

to find FE, you can draw a line from F to C and from E to C. note that you will form an isosceles triangle, with the angle at the center = 90 degrees. i think you can take it from there

to find angle DAE ... i have to think about some more. there seems to be some useful theorem that i'm forgetting at the moment