Mr. Wang was really lucky _________to America for further study.

D
主语+形容词+动词
表示做什么事情很（高兴，难过，愉快，幸运）
动词要用不定式
最简单的例子就是Nice to meet you

至于动词的语态，也就是被动还是主动，要看意思
这里的意思是很幸运的被派往美国继续学业，所以是被动。又因为是was过去时态，所以后面用已经被派往美国，用完成时态，表达的是过去的意思。

D. to have been sent

B
I was very lucky to get a copy so cheap.
我这么便宜地买到一本,真是幸运极了

B.to be sent

选C
All these people want this gruesome platinum blonde that I naturally want, and they call me a murderer for getting rid of it, lucky for having it in the first place.? Was I really so lucky having it as a kid, when I was taunted for it?? You all don't get it.? If you have it dyed, it's pretty, but if you've got it naturally, you're a f*&^ing freak.? I'll go back to it one day, proviso I'm famous, just for an album or two.? That's a promise!

b