so.. .it'd be more or less like the picture below then
[tex]\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
-----------------------------\\\\
\measuredangle C=180-A-B\implies \measuredangle C=180-55-44\implies \measuredangle C=81
\\\\\\
\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\implies \cfrac{sin(44^o)}{68}=\cfrac{sin(81^o)}{c}
\\\\\\ \overline{AB}=c=\cfrac{68\cdot sin(81^o)}{sin(44^o)}[/tex]
now, the angles are in degrees, thus, make sure your calculator is in Degree mode when taking the sines
