
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
Points  $K$  and  $M$  are taken on the sides  $AB$  and  $CD$  of square  $ABCD$ , respectively, and on the diagonal  $AC$  - point  $L$  such that  $ML = KL$ . Let  $P$  be the intersection point of the segments  $MK$  and  $BD$ . Find the angle  $\angle KPL$ .

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