angle vs viewpoint

angle and viewpoint both are nouns.

Word	Noun	Adjective	Verb	Adverb
angle	Yes	No	Yes	No
viewpoint	Yes	No	No	No

As nouns, viewpoint is a hypernym of angle; that is, viewpoint is a word with a broader meaning than angle:

Other hypernyms of angle include point of view, stand, standpoint.

angle (noun)	viewpoint (noun)
a biased way of looking at or presenting something	a mental position from which things are viewed
the space between two lines or planes that intersect; the inclination of one line to another; measured in degrees or radians	a place from which something can be viewed

angle (verb)	viewpoint (verb)
present with a bias
fish with a hook
seek indirectly
to incline or bend from a vertical position
move or proceed at an angle