1. BD
2. DE
3. BE
4. BC
5. EC
Explanation:
To order the side lengths BD, DE, BC, BE, and EC from least to greatest, we can analyze the given figure.
From the figure, we can see that segment BD is the shortest side as it connects two points that are closest to each other.
Next, let's compare DE and BC. Since DE forms a smaller angle than BC (63° vs. 64°), we can conclude that DE is shorter than BC.
Now, let's compare BE and BC. Both sides connect the same two points, but BC forms a larger angle (64°) than BE (20°). This means that BC is longer than BE.
Lastly, we can compare BE and EC. Looking at the figure, we can observe that EC is the longest side because it connects two points that are farthest apart.
Remember, when comparing side lengths, we can consider the angles formed by those sides. Smaller angles generally correspond to shorter side lengths, while larger angles correspond to longer side lengths.