It really depends on the question. If you didn't have any information on the surrounding angles, and thus you wouldn't be able to use algebra, You would find an angle with a protractor.
However, if you were dealing with right angle triangles, (i'm aware you're in middle school), like in highschool, you could find an angle using trigonometry.
Hi, check the comment. It is the answer. I wrote my own comment and rated myself 1.0 for no reason lol!! (Oh mah gawd I was joking this is not the answer, do NOT take this as your answer!