Question

- b = 14.89, C = 77°, c = 17.11

- b = 14.89, C = 77°, c = 16.8

- b = 12.53, C = 77°, c = 13.3

- b = 12.53, C = 77°, c = 4.83

Answer 1

∠A=36°  ∠B=67°  measures of a=8

in a Δ sum of all angles are 180
∠A+∠B+∠C=180
36+67+∠C=180
∠C=77

Now use law of sines 
a/sinA=b/sinB=c/sinC
8/sin36=b/sin67
now u can find B and C