How to fit kitchen cabinets to corners that are not 90 degrees
Not all corner cabinets make up both sides of a corner. You can get a cabinet for example that is 42" long but with only a 18" door. Another standard cabinet will butt against it to form a corner. Normally a 3" spacer is used to make clearance for drawers and doors to open.  You may need more on your smaller angled corner. I believe they're called blind corner cabinets.  They normally leave an hard to access space but slide outs like in the picture below will help.