If you know the measure of one of the angles formed by two parallel lines and a transversal, can you find the measure of all the other angles without using a protractor? why or why not?

At the county fair, animals are judged for the quality of their breeding and health. the animal pens are arranged in an array, with one animal in each pen. a barn can hold at most 10 rows of pens and at most 6 pens in each row, with room for people to walk around them. what different ways can the planners of the county fair arrange the pens for the horses and cows in the same barn?