1. **State the problem:** We have a mirror with an incident ray and a reflected ray. The angle of incidence $i$ equals the angle of reflection $r$, both given as 70°. We need to find the values of angles $x$ and $y$ adjacent to the rays on the mirror side. 2. **Recall the law of reflection:** The angle of incidence $i$ equals the angle of reflection $r$: $$i = r$$ 3. **Understand the angles:** - $i$ and $r$ are measured from the normal (a line perpendicular to the mirror). - Angles $x$ and $y$ are the angles between the rays and the mirror surface. 4. **Calculate $x$ and $y$:** Since the normal is perpendicular to the mirror, the angle between the normal and the mirror is 90°. Therefore, $$x = 90^\circ - i = 90^\circ - 70^\circ = 20^\circ$$ $$y = 90^\circ - r = 90^\circ - 70^\circ = 20^\circ$$ 5. **Conclusion:** The angles $x$ and $y$ adjacent to the mirror are both 20°. **Final answer:** $$x = 20^\circ, \quad y = 20^\circ$$