A line forms a straight angle, which measures 180 degrees. Since you know that b and c are lines, and that angles 1 and 3 collectively measure 314, you can figure out the measure of angle 2 (and angle 4) by setting up an equation like the one that follows:
180 = 314/2 + x
180 = 157 + x
23 = x
Answer:
Angle 2 = 23 degrees