
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 triangle \(KIA\), the angles \(K\) and \(I\) are both \(30^{\circ}\). On the line passing through point \(K\) perpendicular to side \(KI\), point \(N\) is marked such that \(AN\) is equal to \(KI\). Find the measure of angle \(KAN\).

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