# Distance is not perpendicular

Geometry Level 4

A straight line $$L$$ passes through $$(1,2)$$ and intersects the line $$x+y=4$$ at a distance $$\frac{\sqrt6}{3}$$ from $$(1,2).$$

Over all possible $$L$$, what is the largest acute angle, in degrees, that the line $$L$$ makes with the $$x$$-axis?

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