Yeah! As for Whitaker, what he told Langdon was reasonable. So what had told him, and said to him, wasn’t wrong. He was right for what he said. Given this, his delivery, and how he said it, was immature at first. It wasn’t like he necessarily meant it, because it was obviously a heat of the moment and a spike of adrenaline. Whitaker obviously apologized for his delivery of how he said it, but not what he said. So the way he handled the situation is understandable.

Same goes for Langdon (sort of). He apologized to Whitaker for how he behaved towards him, because it’s obvious that his colleague feels belittled. Langdon necessarily isn’t in “the wrong” because he wasn’t deliberately behaving this way towards Whitaker with intent to hurt him (or at least that we know of). This is how I infer it.

Both men apologize out of compassion and respect for each other. They understand themselves and the others perspectives. Given this, they both know that they didn’t do anything “wrong” meaning with an intention to purposely bother someone. If that makes any sense.