To be understandable or convincing; to be able to agree with something; to find something acceptable or plausible.
彼の説明は筋が通っていて、うなずける。
His explanation is coherent and easy to agree with.
そんなに忙しかったなら休みが必要だというのはうなずける。
Given how busy he was, it's understandable that he needed a break.
彼女が怒る気持ちもうなずけるが、話し合いは必要だ。
I can see why she would be angry, but they still need to talk it over.
この結果なら、彼が責められるのもうなずける。
Given these results, it's not surprising that he gets blamed.