
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
Given an isosceles triangle \( ABC \) with \( AB = BC \). Points \( K \), \( L \), and \( M \) are marked on the sides \( AB \), \( BC \), and \( AC \) respectively such that \(\angle AKM = 90^\circ\), \(\angle BLK = 90^\circ\), and \( KM = KL \). What is the measure of angle \( CML \)?

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