sed find pattern on line with another pattern

Question

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)

Answer 1

sed -n '/^ZZZ/ { s/^.*\(<.*>\).*$/\1/p }'

Answer 2

If it does not have to be sed and you have a fairly recent grep, you may use grep's option -o as in

grep '^ZZZ' | grep -o '<[^>]*>'