I can't figure out how to switch from distance to angle when dimensioning sketches.
Use the Smart Dimension tool. It automatically generates angle dimensions when two lines at an angle to each other are selected.
This is a hole
You need to put center marks to the holes and then you can pick them to define the angle.
A picture would be most helpful.
Are the holes made with a cut extrude or with the hole wizard ?
HOLE WIZARD. I added a sketch with centerlines along the x & y then another centerline @ 25 degrees to the corresponding centerline and made the hole coincident to that centerline
You need to put center marks to the holes and then you can pick them to define the angle.