Find the angle NFL\angle NFL

Geometry Level 4

Let ABC \triangle ABC be an acute triangle with angles 30, 70 and 80 (degrees) at vertices AA, BB, CC respectively. Altitudes AP,BQAP, BQ and CRCR intersects in the orthocenter HH of ABC \triangle ABC. Points N,LN, L on sides BCBC and ACAC are such that segment NLNL contains HH and NLNL bisects AHQ \angle AHQ. The point FF on the circumcircle of ABC \triangle ABC bisects the smaller arc AB AB . Find NFL\angle NFL in degrees.

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