Angles in a triangle add up to 180 degrees.
therefore the third angle will be 180-14-34 = 132
use the sine rule:
30/sin(132) = B/sin(14)
30sin(14)/sin(132)=B
9.76614 = B
30/sin(132) = A/sin(34)
30sin(34)/sin(132)=A
22.474 = A
Side A = 22.47 (2dp)
Side B = 9.77 (2dp)