If a map is being reduced to form a pocket sized version then it is being proportionality reduced a smaller size that is required. Cartographers enlarge and reduce maps proportionally to serve different purposes in their study. The map is still the same but smaller in size.
If on a map 2cm represents 2 meters, that is 0.02/2 which evaluates to 1/100, then we are comparing distance and ensuring they are proportional using scale factor(our scale factor is 1:100 here)
In both exterior and interior angles on the same side of the transversal, one of the angles will be acute and the other one will be obtuse making them different. Therefore, there is no relationship between them.