Walls and Ceilings - Corner of sheetrock not sdecured to a stud - big deal?

I am sheetrocking a room with a sloped ceiling. So, the walls have pieces that are triangular near the corner. The slope is about 45 degrees, so the triangle is close to a right angle.

On one 8 footer, I cut the angle off of the end, brought it up on my scaffold, placed it on the 2x4 I had 4 feet below it to rest it on, and secured it. This was no easy task alone.

When I got to the furthest part of the board, ready to put the screws in, I realized that the lowest corner, a triangle of about 7x7x9 , has no stud to secure it to.

There is no way Im taking this down and adding a stud to nail to.

If I have to, Ill cut the corner back to the nearest stud. Then I can add a piece to nail to and replace it with a new , small piece of rock.

But, do I need to? Is there any other shortcut I can take? I can but the adjoing wall up to it either, because that wall is already up.

Any thoughts?

If I am picturing it correctly [its just a small triangle at the top of the wall?] it should be ok to leave it and let the tape hold that little bit. While not ideal a small area high enough to not be readily acessable shouldn't pose a problem

Its a small triangle but its actually at the lower corner. Its on a wall that goes up 16 feet, at the corner where that wall, the start of the ceiling slope, and an 8 foot wall meet. Maybe, tonight, I can take a picture and add it.

If you do not secure it, I would definately use a setting type compound to finish it (would probably use that anyway). Use Flex-Tape (it is a ridgid plastic type), not paper.

I never like unsecured corners. My house has unsecured corners and each winter when the walls shrink my outermost corners in the house have a gap that opens (about 1/8 - 1/4 inches). (not that it will happen to you, but annoying as heck).

As I renovate, I fix that 30 year old problem.