# Find the angle $$\angle NFL$$

Geometry Level 4

Let $$\triangle ABC$$ be an acute triangle with angles 30, 70 and 80 (degrees) at vertices $$A$$, $$B$$, $$C$$ respectively. Altitudes $$AP, BQ$$ and $$CR$$ intersects in the orthocenter $$H$$ of $$\triangle ABC$$. Points $$N, L$$ on sides $$BC$$ and $$AC$$ are such that segment $$NL$$ contains $$H$$ and $$NL$$ bisects $$\angle AHQ$$. The point $$F$$ on the circumcircle of $$\triangle ABC$$ bisects the smaller arc $$AB$$. Find $$\angle NFL$$ in degrees.

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