
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
Points  $E$  and  $F$  are chosen on sides  $BC$  and  $CD$  respectively of rhombus  $ABCD$  such that  $AB=AE=AF=EF$ , and  $FC,DF,BE,EC>0$ . Compute the measure of  $\angle ABC$ .

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