Rear extension very out of square - best solution for the verge?

[djangofango]

The back extension on this property was poorly finished by previous owners. There was a large capping board held down with spray foam which had started coming loose, along with flashband tape at the top apex wall where a leak had developed.

Both have been removed and temporarily covered with felt, but a permanent fix is needed soon.

One complication is that the back section is not square — there is around 30cm of run-out at the top, meaning tiles cannot sit square or flush with the verge end.

The tiles also appear quite brittle, so replacement may be necessary?

Options:
- Extra timber/lead work/wide capping board to cover the triangle section?
- Wet verge, but tiles won't be at all neat at the ends?

Any advice welcome!

 

[^woody^]

Would a continuous dry verge and cut tiles work? Not individual, continuous.

 

[djangofango]

The thing is - in the angled section / triangle - the water will run down that section if there are tiles there. I am concerned about where that water ends up. If the path is blocked by dry verge or capping board, will it not be forced into the top of the wall, or even creep inside?

 

[djangofango]

This?