I like to listening to English songs in my free time.改为同义句

like后面是加to do或doing吧,怎么会是to doing?
抛开这个不管,同义句应该是I enjoy listening to English songs in my free time或者I love to listen to English songs in my free time.
说实话,这道题本来就有问题,题目有问题,同义句也不对,但是我这样写你看得懂吧!