
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
On the extension of chord  $AB$  of a circle centroid at  $O$  a point  $X$  is taken and tangents  $XC$  and  $XD$  to the circle are drawn from it with  $C$  and  $D$  lying on the circle, let  $E$  be the midpoint of the line segment  $CD$ . If  $\angle OEB = 140^o$  then determine with proof the magnitude of  $\angle AOB$ .

Present the answer in LaTex format: \boxed{Your answer}
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