Lines m and n are parallel, as shown in the diagram below. What are the measures of angles A and B?
This requires some angle chasing, which I think is pretty fun.
So, we see that since m and n are parallel, the angle next to B is also 65 degrees. So, to solve for B, we add 55+65+B and subtract that from 180. Try that.
For A, we know that all the angles in a triangle add up to 180. So, A+B+65 and subtract that from 180.
Once you have done what is put in green, you will get the answers you need.