
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
In a tetrahedron $A B C D$ where all edges are of equal length, points $E$ and $F$ are the midpoints of edges $A D$ and $B C$ respectively. Connect $A$ to $F$ and $C$ to $E$. Find the angle between the skew lines $A F$ and $C E$.

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