争得 is a resultative verb compound (verb + complement) meaning 'to obtain through striving or contending'. It is commonly used with 了 to indicate successful acquisition: 争得了 ('managed to win'). In classical or literary Chinese, 争得 can also introduce a rhetorical question meaning 'how can it be that...?' — but this usage is rare in modern spoken Chinese and is best understood as a fixed pattern rather than a productive sense.