North Carolina has 100 counties. 92 of those voted for the passing of Amendment One on Tuesday, 8 voted against it, including all three counties in the Triangle. Wake (Raleigh), Durham (Durham), Orange (Chapel Hill) and Chatham Counties make up a small island in the middle of the state that voted against the amendment with Buncombe (home of Asheville), Mecklenburg (Charlotte), Watauga (Boone) and Dare (Outer Banks) being the other four.
It makes sense that all of the counties with large, mostly liberal cities went against the amendment. The only surprises it may seem is that Guilford (home of Greensboro) didn't go for the amendment, but then again it's not far off of expectation considering the size of Greensboro as a metropolis.
See the county by county breakdown of the Amendment One vote here.