The relationship between $\angle m$ and $\angle n$ can be understood based on their geometric configuration. Since $\angle EAB$ and $\angle EAD$ are adjacent angles formed by two rays $AB$ and $AD$ intersecting line $EC$, and $\angle EAB$ is a right angle (90°), the two angles must add up to 180°. Therefore, the correct relationship between $\angle m$ and $\angle n$ is that they are supplementary angles.

Thus, the correct answer is: (Choice C) Supplementary angles

Would you like a more detailed explanation or have any further questions? Here are some related questions to explore:

1. What are supplementary angles?
2. How can adjacent angles form supplementary angles?
3. What is the difference between complementary and supplementary angles?
4. What is the relationship between vertical angles and adjacent angles?
5. How do we calculate angles formed by intersecting lines?

Tip: Always check the sum of adjacent angles when two lines intersect to determine if they are supplementary.