Find the Missing Parts of the Triangle $$\begin{array} { l } \mathrm { A } = 23 ^ { \circ } \\\mathrm { a } = 35 \mathrm {~km} \\\mathrm {~b} = 54 \mathrm {~km}\end{array}$$

Find the missing parts of the triangle.
- $$\begin{array} { l } \mathrm { A } = 23 ^ { \circ } \\\mathrm { a } = 35 \mathrm {~km} \\\mathrm {~b} = 54 \mathrm {~km}\end{array}$$
If necessary, round angles to the nearest whole number and side lengths to the nearest $\mathrm { km }$ .

A) $\mathrm { B } _ { 1 } = 37 ^ { \circ } , \mathrm { C } _ { 1 } = 120 ^ { \circ } , \mathrm { c } 1 = 78 \mathrm {~km}$
B) $\mathrm { B } = 37 ^ { \circ } , \mathrm { C } = 120 ^ { \circ } , \mathrm { c } = 78 \mathrm {~km}$
$$\mathrm { B } _ { 2 } = 143 ^ { \circ } , \mathrm { C } _ { 2 } = 14 ^ { \circ } , \mathrm { c } _ { 2 } = 22 \mathrm {~km}$$
C) no such triangle
$$\text { D) } \begin{aligned}\mathrm { B } _ { 1 } & = 120 ^ { \circ } , \mathrm { C } _ { 1 } = 37 ^ { \circ } , \mathrm { c } _ { 1 } = 78 \mathrm {~km} \\\mathrm {~B} _ { 2 } & = 14 ^ { \circ } , \mathrm { C } _ { 2 } = 143 ^ { \circ } , \mathrm { c } _ { 2 } = 22 \mathrm {~km}\end{aligned}$$