I am trying to extract text from a file between a '<' and a '>', but only on a line starting with another specific pattern.

So in a file that looks like:

XXX Something here

XXX Something more here

XXX <\Lines like this are a problem>

ZZZ something <\This is the text I need>

XXX Don't need any of this

I would like to print only the "<\This is the text I need>".

If I do sed -n '/^ZZZ/p' FILENAME

it pulls the correct lines I need to look at, but obviously prints the whole line.

sed -n '/</,/>/p' FILENAME prints way too much.

I have looked into grouping and tried sed -n '/^ZZZ/{/</,/>/} FILENAME but this doesn't seem to work at all.

Any suggestions? They will be much appreciated.

(Apologies for formatting, never posted on here before)