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Problem 307. Regular Nonagon or Enneagon, Midpoints, Side, Arc, Angle.
Level: High School, SAT Prep, College geometry.

In a regular nonagon ABCDEFGHI inscribed in the circle of center O, M is the midpoint of arc AB, N is the midpoint of side BC and P is the midpoint of OM. Prove that the measure of angle ONP is 30 degrees.
 

Regular Nonagon, Midpoints, Angle 

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