
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 square \(ABCD\), a segment \(CE\) is drawn such that the angles shown in the diagram are \(7\alpha\) and \(8\alpha\). Find the value of the angle \(\alpha\) in degrees. If necessary, round the answer to 0.01 or express the answer as a common fraction.

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