Answers

2014-09-16T18:40:13+05:30
\angle BOD = 40 degrees

Therefore, \angle AOC = 40  [vertically opp angles]

Given that, 
\angle AOC +\angle BOC= 70

Therefore, \angle BOC = 30  

I am not sure, from where did "E" comes?
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e bisects angle COB
Your question is like this:- (1).AB and CD intersect at O. (2).Angle BOC is bisected by OE. (3). Angle AOC + Angle EOC = 70. (4). Angle BOD = 40. (5). Find angle BOE . (6). Find reflex angle COE. Answer:- (5). As OE bisects angle BOC, hence angle BOE = angle COE = 70. (6). (i) Angle AOD = vertically opposite angle BOC = angle BOE+ angle COE = 70+70 = 140. (ii) Angle COA = vertically opposite angle BOD = 40. Therefore reflex angle COE = 360 - angle COE = 360 - 70 = 290.
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2014-09-16T18:46:30+05:30
What is point E ? 
Also check the statement of the question again. There seems to be error with angles AOC and BOC being equal to 70 as AB is a straight line.
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