
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
Let  $A$ ,  $B$ , and  $C$  be distinct points on a line with  $AB=AC=1$ . Square  $ABDE$  and equilateral triangle  $ACF$  are drawn on the same side of line  $BC$ . What is the degree measure of the acute angle formed by lines  $EC$  and  $BF$ ?

*Ray Li*

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