1. **Stating the problem:** We have four angles formed by two intersecting lines: angles $h$, $g$, $m$, and $k$. Given are $h = 93^\circ$ and $m = 122^\circ$. We need to find the values of $g$ and $k$. 2. **Important rules:** When two lines intersect, opposite (vertical) angles are equal. Also, adjacent angles on a straight line sum to $180^\circ$. 3. **Using vertical angles:** Since $h$ and $g$ are vertical angles, they are equal: $$g = h = 93^\circ$$ 4. **Using adjacent angles:** Angles $m$ and $k$ are adjacent on a straight line, so: $$m + k = 180^\circ$$ 5. **Calculate $k$:** $$k = 180^\circ - m = 180^\circ - 122^\circ = 58^\circ$$ 6. **Summary of values:** $$h = 93^\circ, \quad g = 93^\circ, \quad m = 122^\circ, \quad k = 58^\circ$$ These satisfy the properties of vertical and adjacent angles formed by intersecting lines.