Answer: Choice B
angle B = 118, a = 17, c = 18
==========================================================
Explanation:
Use the given angles to find angle B.
A+B+C = 180
B = 180-(A+C)
B = 180-(30+32)
B = 118
Now use the law of sines to find side 'a'
Make sure your calculator is in degree mode.
a/sin(A) = b/sin(B)
a/sin(30) = 30/sin(118)
a = sin(30)*30/sin(118)
a = 16.9885507603356
a = 17
Follow similar steps to find side c
c/sin(C) = b/sin(B)
c/sin(32) = 30/sin(118)
c = sin(32)*30/sin(118)
c = 18.005120638611
c = 18
