We have to find th third side and two other angles.

PSK\sin C=\frac{c\sin A}{a}=\frac{27\sin50}{22}=0.9401

\(\displaystyle{C}={{\sin}^{{-{1}}}{0.9401}}={70}°\)

\(\displaystyle{B}={180}°-{50}°-{70}°={60}°\)

\(\displaystyle{b}={\frac{{{a}{\sin{{B}}}}}{{{\sin{{A}}}}}}={\frac{{{22}\times{\sin{{60}}}°}}{{{\sin{{50}}}°}}}={24.87}\)

PSK\sin C=\frac{c\sin A}{a}=\frac{27\sin50}{22}=0.9401

\(\displaystyle{C}={{\sin}^{{-{1}}}{0.9401}}={70}°\)

\(\displaystyle{B}={180}°-{50}°-{70}°={60}°\)

\(\displaystyle{b}={\frac{{{a}{\sin{{B}}}}}{{{\sin{{A}}}}}}={\frac{{{22}\times{\sin{{60}}}°}}{{{\sin{{50}}}°}}}={24.87}\)