Indentation in verse environment

Question

I have to typeset a bit of verse in which certain lines are indented to approximately the length of the preceding line, as in these lines from Romeo and Juliet.

I tried to use \phantom, like so:

\documentclass{tufte-handout}
\begin{document}
\begin{verse}
I am Laertes' son, Odysseus.\\
\phantom{I am Laertes' son, Odysseus.} Men hold me\\
formidable for guile in peace and war:\\
this fame has gone abroad to the sky's rim.\\
\end{verse}
\end{document}

But it doesn't work. Instead I get the result in this picture:

What's the best way to fix this? Once upon a time I used vinphantom, but that command seems unavailable (or else is available only in memoir, which is what I used last time). What's the best solution?