第二种说法就可以了。第一句不好。(可改:I am appreciated that you answered my question.)
一般appreciate表感激用成及物动词
I appreciate your reply.
Thank you for answering my question. 可以
较常用Thank you for your reply.
Thank you for answing my question !或者It's nice of you to answer my question!
I appreciate your answer,更好一些,第二个用的很好。
第一句应该 I appreciate you answered my question
第二句没问题