Chapter 13, Trigonometric Ratios and Functions - 13.6 Apply the Law of Cosines - 13.6 Exercises - Quiz for Lessons 13.5-13.6 - Page 894: 5

See below.

$B=180-A-C=180-102-25=53^\circ$. Using the law of sines, $\frac{b}{\sin53^\circ}=\frac{31}{\sin102^\circ}\\b=\frac{31\sin53^\circ}{\sin102^\circ}\approx25.31$ $\frac{c}{\sin25^\circ}=\frac{31}{\sin102^\circ}\\c=\frac{31\sin25^\circ}{\sin102^\circ}\approx13.39$