1. **State the problem:** We are given a triangle with vertices A, B, and C, and we need to find the smallest angle to the nearest degree. 2. **Identify the shortest side:** The smallest angle is opposite the shortest side in a triangle. 3. **Use the Law of Cosines or Law of Sines:** To find the angle opposite the shortest side, we can use the Law of Cosines: $$\cos(\theta) = \frac{a^2 + b^2 - c^2}{2ab}$$ where $\theta$ is the angle opposite side $c$, and $a$, $b$, and $c$ are the lengths of the sides. 4. **Measure or calculate side lengths:** Use the protractor and ruler to find the lengths of sides and identify the shortest side. 5. **Calculate the angle:** Substitute the side lengths into the Law of Cosines formula and solve for $\theta$. 6. **Round to the nearest degree:** After calculating $\theta$, round the result to the nearest whole number. Since the exact side lengths or angle measures are not provided, this is the method to find the smallest angle to the nearest degree.