않았다며

In a sentence

• 그는 어제 숙제를 하지 않았았다며 선생님에게 핑계를 댔다.

  He made an excuse to the teacher saying that he hadn't done his homework yesterday.

  In this sentence, '않았다며' (saying that he hadn't/have not) is used to quote the reason provided by the subject in the saying form within the context of an excuse.

• 그녀는 영화가 재미없었다며 극장을 일찍 나갔다.

  She left the cinema early, saying that the movie was not interesting.

  Here, '않았다며' illustrates the subject conveying a subjective opinion or feeling as the reason for an action, quoted in spoken or indirect reported form.

• 학생들은 학교 규칙이 불공평하다며 선생님에게 불만을 말했다.

  The students expressed their dissatisfaction to the teacher, saying that the school rules were unfair.

  This usage of '않았다며' represents a quoting of a communicated believe by a collective subject in relation to their dissatisfaction.