
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
Triangle  $ABC$  is isosceles with  $AB=AC$ . The bisectors of angles  $ABC$  and  $ACB$  meet at  $I$ . If the measure of angle  $CIA$  is  $130^\circ$ , compute the measure of angle  $CAB$ .

*Proposed by Connor Gordon*

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