
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 $\triangle ABC$ with $\overline{AB} = \overline{BC} = \overline{CA}$, a square $BCDE$ is constructed such that $D$ and $E$ lie on line $AC$, with $D$ closer to $C$. If $y$ is the number of degrees in $\angle BAE$, calculate $y$.
A) $45^\circ$
B) $60^\circ$
C) $90^\circ$
D) $135^\circ$
E) $180^\circ$

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