I would frame a wall up flush with the brick and then use siding to cover it from there on up.
Tying a porch roof into existing roof.
After that to make it flush with the roof of the existing house cut the two outer rafters.
Tying in to an existing gable roof.
When a shed roof ties into an existing roof the new roof could be a simple lean to that covers a deck or porch or it could be the shed roof of a substantial addition.
You have to do it thoroughly so that the rafters sit flush on it.
Make a cutting on one of the sides of the horizontal roof beam on an angle.
Butt the first new truss against the old one.
Tie into the end of an existing gable roof by removing existing facing boards wall siding and any other obstructions back to the first truss of the old roof.
First the 4x4 beams need to be cut to the size of the existing roof so the porch roof and the edge of the existing roof will be even when the job is complete.
Then mount new trusses on the new addition walls.
Now take the 4x4 beams and erect them to the perimeter outside the porch about four feet apart.
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In any case the structure.