
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
An angle can be represented by two uppercase letters on its sides and the vertex letter, such as $\angle A O B$ (where “ $\angle$ " represents an angle), or by $\angle O$ if the vertex has only one angle. In the triangle $\mathrm{ABC}$ shown below, $\angle B A O=\angle C A O, \angle C B O=\angle A B O$, $\angle A C O=\angle B C O$, and $\angle A O C=110^{\circ}$, find $\angle C B O=$ $\qquad$ .

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