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)