Answer
$131.3^\circ$
Work Step by Step
1. Draw a diagram as shown.
2. Use the Law of Sines, we have $\frac{sinB}{b}=\frac{sinC}{c}$ which gives $sinC=\frac{c\ sinB}{b}=\frac{4.54sin30.6^\circ}{7.42}\approx0.31146$. Thus angle $C=asin(0.31146)\approx18.1^\circ$
3. We can find angle $A=180^\circ-30.6^\circ-18.1^\circ\approx131.3^\circ$
