Answer :

AL2006
Yep, this one seems sneaky and confusing.  But it's not so bad if you remember the things you learned about parallel lines.  (It can't be too tough ... I learned them
in 1954 and I still know how to use them.)

Look at the picture.  Line ' l ' is parallel to line ' m ', and the horizontal line on the bottom (which is not labeled) is a transversal that cuts the parallel lines.

Did you learn that interior angles on the same side of the transversal are equal ?
I'm sure you did, although it may have a new name nowadays.

Anyway, with the help of that 'tool', angle-'B' and angle-'D' are equal.  So . . .

(angle-A + angle-B) = 120

angle-B = 65

angle-A = 120 - 65 = 55 degrees.