How to trim corners more than 45 degrees with quarter round?

When cutting quarter round moldings most often the quarter round comes in 8 foot lengths. You can purchase 16 foot lengths if you don't want as many joints. When installing 8 foot lengths it can be a little easier as you don't have to measure as much. In this diagram the red colored pieces are 8 footers. The angles to be cut here are for the corner, these are called inside corners. The corners are 90 degree angles therefore when cutting the quarter round, cut the quarter round corners at 45 degrees each. When cutting the angles, each connecting cut needs to equal half of the total angle.