Find the Missing Parts of the Triangle $$\begin{array} { l } \mathrm { A } = 21 ^ { \circ } \\\mathrm { a } = 35 \mathrm {~km} \\\mathrm {~b} = 50 \mathrm {~km}\end{array}$$

Multiple Choice

Find the missing parts of the triangle.
- $$\begin{array} { l } \mathrm { A } = 21 ^ { \circ } \\\mathrm { a } = 35 \mathrm {~km} \\\mathrm {~b} = 50 \mathrm {~km}\end{array}$$
If necessary, round angles to the nearest whole number and side lengths to the nearest $\mathrm { km }$ .

A) $\mathrm { B } _ { 1 } = 128 ^ { \circ } , \mathrm { C } _ { 1 } = 31 ^ { \circ } , \mathrm { c } _ { 1 } = 77 \mathrm {~km}$
B) $\mathrm { B } = 31 ^ { \circ } , \mathrm { C } = 128 ^ { \circ } , \mathrm { c } = 77 \mathrm {~km}$
$$\mathrm { B } _ { 2 } = 10 ^ { \circ } , \mathrm { C } _ { 2 } = 149 ^ { \circ } , \mathrm { c } _ { 2 } = 17 \mathrm {~km}$$
C) no such triangle
D) $\mathrm { B } _ { 1 } = 31 ^ { \circ } , \mathrm { C } _ { 1 } = 128 ^ { \circ } , \mathrm { c } _ { 1 } = 77 \mathrm {~km}$
$$\mathrm { B } _ { 2 } = 149 ^ { \circ } , \mathrm { C } _ { 2 } = 10 ^ { \circ } , \mathrm { c } _ { 2 } = 17 \mathrm {~km}$$