noun
way of hearing; way of asking; how something is taken
Refers to the manner in which something is heard, asked, or interpreted. Often used when discussing how a question or statement is perceived.
その質問は聞きようによっては失礼に聞こえる。
Depending on how you hear it, that question can sound rude.
彼の言い方は聞きようがなかった。
There was no good way to take what he said.
聞き方 is the more common and neutral word for 'way of listening/asking'. 聞きよう often carries a nuance of interpretation or perception, and is used in set phrases like 聞きようによっては.
Compound of 聞き (the continuative form of 聞く 'to hear, ask') and 様 (よう 'way, manner').