In my opinion roof pitches with gables that are less than 5 12 don t look nearly as nice.
Hip roof with gable addition.
Gambrel roof a multi sided.
It s a more complex design that requires more building materials.
It may be better to stick frame the addition roof.
Also known as a pyramid.
For high wind areas or strong storms a pitch of 4 12 6 12 18 5 26 5 angle is recommended.
Variations of a gable roof open gable roof a hip roof on a square structure where all sides join to form a single peak.
You d probably end up with some cricket areas where the gables meet.
Looking at the front of your house i d do at least a 5 12 up to a 7 12 roof pitch and gable it.
Box gable roof a type of hip roof where each side includes two different sloping angles with the lower angle much.
Hip roofs are more expensive to build than a gable roof.