Answer
$C \approx 137.5^{\circ}$
Work Step by Step
1. Find $\angle B$
$\frac{\sin (B)}{b} = \frac{\sin (A)}{a}$
$\frac{\sin(B)}{4.82} = \frac{\sin (25.2)}{6.92}$
$\sin(B) = \frac{4.82\sin(25.2)}{6.92}$
$\sin B = 0.29656...$
$B = \sin^{-1} (0.29656...)$
$B = 17.2516...^{\circ}$
2. Find $\angle C$
$\angle C = 180 - (\angle A + \angle B)$
$= 180 - [25.2 + (17.2516...)]$
$= 180 - (42.4516...)$
$= 137.54836...^{\circ}$
$\approx 137.5^{\circ}$
