
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
Find $\angle BXY$ given that $\overline{AB}\parallel \overline{CD}$ and $\angle AXE$ is $90^\circ$ less than 4 times $\angle CYX$.

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