General Maths Networks 2023 VCAA Question Help

Hi guys, how do you figure out Q13c from my understanding both of these roads that are travelled twice have to come out of odd vertices, but I'm not sure quite how to find which ones they are.

https://preview.redd.it/o4btpc2v9nyd1.png?width=907&format=png&auto=webp&s=4f7446e198cdd59ef465698c65bb1ba53a25620e