Answer
See below.
Work Step by Step
$C=180-26-77=77^\circ$.
Using the law of sines, $\frac{a}{\sin26^\circ}=\frac{50}{\sin77^\circ}\\a=\frac{50\sin26^\circ}{\sin77^\circ}\approx22.5$
$\frac{b}{\sin77^\circ}=\frac{50}{\sin77^\circ}\\b=\frac{50\sin77^\circ}{\sin77^\circ}=50$
