Answer
$137.5^\circ$
Work Step by Step
Given $A=25.2^\circ, a=6.92\ yd, b=4.82\ yd$, use the Law of Sines, we have
$\frac{sinB}{b}=\frac{sinA}{a}$, thus $sinB=\frac{b\ sinA}{a}=\frac{4.82\ sin25.2^\circ}{6.92}\approx0.2966$ and $B=asin(0.2966)\approx17.3^\circ$ which leads to $C=180^\circ-25.2^\circ-17.3^\circ=137.5^\circ$
