come out of the wall at a 45 degree and the 5/8 ceiling and the 1/2 wall board will hide it. Sealing around that is another problem.
That was a surprisingly accurate drawing you did of the situation. I actually had more 2x face to work with since my joist was actually flush with the wall, so I was able to get this with a 22.5. Of course my holes weren't lined up, so I had to get two 45s shift it over inside the wall, but all's well that ends well. THanks.come out of the wall at a 45 degree and the 5/8 ceiling and the 1/2 wall board will hide it. Sealing around that is another problem.