angle vs lean back

angle is a noun but lean back is not a noun.

Word	Noun	Adjective	Verb	Adverb
angle	Yes	No	Yes	No
lean back	No	No	Yes	No

As verbs, lean back is a hyponym of angle; that is, lean back is a word with a more specific, narrower meaning than angle:

Other hyponyms of angle include incline, pitch, slope, weather, heel, list, recline.

angle (noun)	lean back (noun)
a biased way of looking at or presenting something
the space between two lines or planes that intersect; the inclination of one line to another; measured in degrees or radians

angle (verb)	lean back (verb)
present with a bias	move the upper body backwards and down
fish with a hook
seek indirectly
to incline or bend from a vertical position
move or proceed at an angle