'vaguely-stated' originates from the combination of 'vague' and 'state', where 'vague' comes from Latin 'vagus' meaning 'wandering' and 'state' from Latin 'stare' meaning 'to stand'.

'vague' changed from the Old French word 'vague' and 'state' from the Old French 'estat', eventually forming the modern English term 'vaguely-stated'.

Initially, 'vague' meant 'wandering' or 'indistinct', and 'state' meant 'to stand', evolving into the current meaning of 'expressed in an unclear manner'.