A friend of mine recommended this site. I cannot figure out any of the parts in the problem in the picture click here
The line segments AE and DE are not tangent to the circle, so I don't know where to even begin. Is there a theorem I can use to solve these?
Draw lines $AD$ and $BC$.
Prove that triangles $AED$ and $BCE$ are similar, with $AE$ corresponding to $CE$, $DE$ corresponding to $BE$ and $AD$ corresponding to $BC$.
Proving that requires a knowledge of the properties of a cyclic quadrilateral.