'sharp-angledness' originates from English, specifically the word 'sharp-angled', where 'sharp' derives from Old English 'scearp' meaning 'cutting, keen', 'angle' comes via Old French from Latin 'angulus' meaning 'corner', and the suffix '-ness' (from Old English) denotes a state or quality.

'sharp-angledness' arose by compounding the adjective 'sharp-angled' (itself from 'sharp' + 'angle') and then adding the noun-forming suffix '-ness', producing the modern noun 'sharp-angledness'.

Initially used adjectivally to describe objects as 'having sharp angles', it evolved (by derivation with '-ness') into a noun meaning 'the quality or degree of having sharp angles'.