Solve the triangle. a = 19°, c = 102°, c = 6 answer choices: b = 31°, a ≈ 18, b ≈ 15.8 x (i know it is not option a) b = 59°, a ≈ 2, b ≈ 5.3 b = 59°, a ≈ 18, b ≈ 15.8 b = 59°, a ≈ 18, b ≈ 5.3

We know that

Law of sines established
a/sin A=b/sin B=c/sin C

then
a/sin A=c/sin C> a=c*sin A/sin C> a=6*sin 19/sin 102
a=1.91 units ≈2 units

A+B+C=180°> B=180-(A+C)> B=1180-(19+102)
B=59°
a/sin A=b/sin B> b=a*sin B/sin A>2*sin 59/sin 19
b=5.27 units ≈5.3 units

the answer is the option 
B = 59°, a ≈ 2, b ≈ 5.3