As for me, music object to listen the act of as subject is liked. [Syntax]

In the sentence "わたしは おんがくを きくのが すきです," the correct word for the star position is "きく." The structure 「動詞の辞書形＋のが すきです」 (verb dictionary form + no ga suki desu) is used to express that you like *doing* something. Here, you like "きく" (listening) to music. "おんがく" (music) is a noun and would come earlier as the object. "を" is a particle that marks the direct object "おんがく." "のが" is a particle phrase that nominalizes the verb "きく," turning "listening" into a noun phrase, and makes it the subject of "すきです." So, only "きく" fits in the star position. Grammar Tip: To express liking an action, use 「動詞の辞書形＋のが すきです」 (verb dictionary form + no ga suki desu).

「わたしは おんがくを きくのが すきです」の「きく」が正解です。動詞の辞書形「きく」に「のが」を付けると、「〜すること」と行動を名詞化できます。「おんがく」は名詞、「を」は助詞、「のが」は名詞化する部分です。 文法ヒント：動詞の行動が好きなら、「動詞の辞書形＋のが すきです」を使います。