
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  $L$  are chosen on the sides  $AB$  and  $BC$  of the isosceles  $\triangle ABC$  ( $AB = BC$ ) so that  $AK +LC = KL$ . A line parallel to  $BC$  is drawn through midpoint  $M$  of the segment  $KL$ , intersecting side  $AC$  at point  $N$ . Find the value of  $\angle KNL$ .

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