#### Answer

$A = 131.3^{\circ}$

#### Work Step by Step

We can use the law of sines to find $C$:
$\frac{b}{sin~B} = \frac{c}{sin~C}$
$sin~C = \frac{c~sin~B}{b}$
$sin~C = \frac{4.54~sin~30.6^{\circ}}{7.42}$
$sin~C = 0.31146$
$C = arcsin(0.31146)$
$C = 18.1^{\circ}$
We can find $A$:
$A+B+C = 180^{\circ}$
$A =180^{\circ}-B-C$
$A = 180^{\circ}-30.6^{\circ}-18.1^{\circ}$
$A = 131.3^{\circ}$