1. **Stating the problem:** We are given two congruent figures with sides and angles labeled. We need to find the measure of angle $\angle N$ in one of the figures. 2. **Understanding congruent figures:** Congruent figures have corresponding sides and angles equal. This means the angles and sides in one figure match exactly with the other. 3. **Identify corresponding parts:** From the given data, the figures have sides 39 km, 57 km, 50 km, and angles 79°, 42°, 59°. Since the figures are congruent, the angle $\angle N$ corresponds to one of these known angles. 4. **Sum of angles in a triangle:** The sum of interior angles in any triangle is always $$180^\circ$$. 5. **Calculate $\angle N$:** In the triangle with angles 79°, 59°, and $\angle N$, we have: $$\angle N = 180^\circ - 79^\circ - 59^\circ$$ $$\angle N = 180^\circ - 138^\circ = 42^\circ$$ 6. **Conclusion:** Therefore, the measure of $\angle N$ is $$42^\circ$$.