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.
In any case the structure.
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.
That fascia should be cut off where it is inside of the porch addition.
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.
Butt the first new truss against the old one.
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After that to make it flush with the roof of the existing house cut the two outer rafters.
Now take the 4x4 beams and erect them to the perimeter outside the porch about four feet apart.
Attach the horizontal beam by using a nail gun.
Then mount new trusses on the new addition walls.
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.
Tying in to an existing gable roof.