Hi, thank you for contacting JustAnswer.com. My name is Russell. I will do my best to provide the right answer to your question.
I understand that you have a Toshiba laptop of the Satellite series, which has a problem that only occurs when the screen is completely opened.
If the camera at the top of the screen part of the laptop, and the wi-fi also (rather a surprise, that) only work at certain angles of the screen being open, then in a way that's good news. If they didn't work at all, it would be much harder to solve.
As it is, what is indicated is, that the contacts have come loose, owing to the cables that go through the laptop hinges having been pulled a little loose. Those cables, probably where they are seated in the base/keyboard part of the laptop, will have to be re-seated. That will require that the laptop be disassembled by a skilled professional and that done, then the laptop put back together again properly also. (And that last is the part that has to be done by a skilled pro... it's the really hard part. Aside from not damaging the delicate inner parts of the laptop while re-seating those cables.
One question remains: is your laptop still within its warranty's period of coverage? if it is less than a year from original purchase date, it most likely is. If it is still covered by warranty, then do not attempt to open the laptop yourself - that would void the warranty. Instead, you should have Toshiba do warranty-covered service on it free-of-charge.
If this completely answers your question, please rate my answer. (If you need to know more, just Reply To Expert and let me know, and I will advise you further.) Thanks.