
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
Hexagon  $ABCDEF$  is inscribed in a circle.  If  $\measuredangle ACE = 35^{\circ}$  and  $\measuredangle CEA = 55^{\circ}$ , then compute the sum of the degree measures of  $\angle ABC$  and  $\angle EFA$ .

*Proposed by Isabella Grabski*

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