A ray falls on a plane mirror at an angle of incidence of 32°…

Step 1. Before. The angle between the incident and reflected rays is $2 \times 32^\circ = 64^\circ$.

Step 2. After. The normal turns by $14^\circ$, so $i = 32^\circ + 14^\circ = 46^\circ$, and the angle between the rays is $2 \times 46^\circ = 92^\circ$.

Step 3. The turn. The incident ray did not move, so the reflected ray turned by $92^\circ - 64^\circ = 28^\circ$.

Why is this useful? A tiny turn of a mirror swings a reflected spot of light a long way. Some measuring meters use this.