如图，\(\angle AOC\)和\(\angle AOB\)分别是\(\angle AOD\)的余角和补角，且\(OD\)是\(\angle BOC\)的平

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如图，\(\angle AOC\)和\(\angle AOB\)分别是\(\angle AOD\)的余角和补角，且\(OD\)是\(\angle BOC\)的平分线，求\(\angle AOD\)的度数。

参考答案：\(67.5^\circ \)