Hello. Your question is incomplete, so it is not possible to answer it accurately. However, I will try to help you in the best possible way.
It is only possible to know the theme and support details of your text by reading it. In this case, to answer this question, you must recognize the main theme of your text (which is the main message that the text wants to send). After recognizing the topic, it is possible to find the support details, because these details are additional information that explain or prove the main topic.
You need to provide said excerpt so I can answer...
Well, Odysseus was going to kill him, until he realized that the giant, named Polyphemus I believe, was the only thing in the cave strong enough to move the boulder blocking them from getting out.
Hope this helps!
To get out of a situation