
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
On the sides \(AB\) and \(CD\) of square \(ABCD\) there are points \(K\) and \(M\) respectively, and on diagonal \(AC\) there is a point \(L\) such that \(ML = KL\). Let \(P\) be the intersection point of segments \(MK\) and \(BD\). Find the angle \(\angle KPL\).

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