If arc abc = 116 degrees what is angle abc

Arc ABC is 116 degrees, so the remaining part of the circle is 360-116 = 244 which represents the measure of arc AC (without going through B). If you look at the attached image, notice how angle ABC is an inscribed angle for the arc AC (again without point B on it). Using the inscribed angle theorem, we take half of the measure of arc AC to get 244/2 = 122

122