I've found that angle BDE is 122°, but I don't know how to find BOE. I know that BO and OE are the radii, but is there a way to prove that DE and BD are of equal length? And even if I do find angles DBE and DEB, how do I find BOE? I am rather confused. Or is there a way to use the alternate segment theorem?Quote:

http://picpanda.com/images/1b3q094l07wnmlq2xua6.jpg

In the diagram, $\displaystyle AB$ is a tangent to the circle with centre $\displaystyle O$. $\displaystyle CDE$ is a straight line and angle $\displaystyle CAB$ = $\displaystyle 58°$

Showing all your reasoning, find angle $\displaystyle BOE$

Any help would be greatly appreciated. Thank you in advance.