Answer
$B = 54.49^\circ \hspace{10pt} C= 82.51^\circ \hspace{10pt} c =45.06 ft$
$B' =125.51^\circ \hspace{10pt} C'=11.49^\circ \hspace{10pt} c' = 9.054 ft$
Work Step by Step
$\sin{B} = \dfrac{37 \times \sin{43^\circ}}{31} = 0.814$
$B = 54.49^\circ \hspace{40pt} B' =180-B= 125.51^\circ $
$C = 180-(A+B) = 82.51^\circ$
$c = \dfrac{31 \times \sin{82.51^\circ}}{\sin{43}} = 45.06 ft$
$C'= 180-(A+B') = 11.49^\circ$
$c' = \dfrac{31 \times \sin{11.49^\circ}}{\sin{43}} = 9.054 ft$