
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
**（Selected Topics in Geometric Proofs）**As shown in the diagram, a tangent is drawn from a point M outside circle O, touching the circle at point A. A line AP is drawn perpendicular to line OM, with P being the foot of the perpendicular. Let N be a point on line segment AP, and line NB is drawn perpendicular to line ON, intersecting circle O at point B. A tangent is drawn from point B intersecting line ON at point K. Find the measure of ∠OKM.

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