Hello!Thank you for your question. I am Shefin and I look forward to helping you with your issue today.
If the hinge is broken, you may not have to open and close the lid properly. It may damage the LCD screen too. So, please replace the hinge with a replacement. Either get help from a local technician to replace the hinge, or order it online and replace it yourself.
Please let me know the exact model number of the computer, so that I can help you with a manual to replace it.
E.g. Video : https://www.youtube.com/watch?v=SZfUGAgX6M8
Video 2: https://www.youtube.com/watch?v=n02YSeIB8Ac
If you are not good at replacing the part, it will be better get help from a .local technician.
S H E F I N