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This figure shows parallel lines 'a' and 'b' which run almost vertically from top to bottom. Line 'c' running from top left to bottom right and line 'd' running from bottom left to top right intersect line 'a' at the same point and intersect line 'b' at two different points so that lines 'b', 'c', and 'd' form a triangle. The angle above line 'd' and to the right of line 'a' measures $57$ degrees. The angle below line 'd' and above line 'c' measures 'n' degrees. The angle to the right of line 'b' and above line 'c' measures $110$ degrees. $$b$$ $$c$$ $$d$$ $$a$$ $$110^{\circ}$$ $$57^{\circ}$$ $$n^{\circ}$$ In the figure, lines $$a$$ and $$b$$ are parallel. Lines $$a$$, $$c$$, and $$d$$ all intersect at a single point. What is the value of $$n$$ ?