In the given figure, o and o' are centre of two circles and the circles intersect each other at points b and c. if aocd is a straight line and /_ aob =110, find /_ bed and /_bod.

I tried this to see if there was enough information in your description
without seeing the "given figure". The answer was 'no'.

Without the figure, we don't know where points A, D, and E are. 
So we have no idea where line AOCD is, or where angles AOB,
BED, and BOD are.

We are forced to conclude that there was a good reason why the
given figure was printed next to the question, and no good reason
why you decided not to copy it along with the rest of the question.

To sum it up:  The given figure is not given, so no answer is possible.