handsome vs fine-looking

handsome and fine-looking both are adjectives.

Word	Noun	Adjective	Verb	Adverb
handsome	No	Yes	No	No
fine-looking	No	Yes	No	No

As adjectives, handsome and fine-looking are synonyms defined as:

handsome and fine-looking: pleasing in appearance especially by reason of conformity to ideals of form and proportion

Other synonyms of handsome include better-looking, good-looking, on fleek, well-favored, well-favoured.

handsome (adjective)	fine-looking (adjective)
pleasing in appearance especially by reason of conformity to ideals of form and proportion	pleasing in appearance especially by reason of conformity to ideals of form and proportion
given or giving freely