Let's analyze the angles 11 to 14 based on the provided image and determine their relationships:

1. ∠11 and ∠12:

   • These angles are adjacent angles because they share a common side and vertex but do not overlap. They might also be complementary if they add up to 90°.

2. ∠12 and ∠13:

   • These angles are vertical angles because they are opposite each other when two lines intersect.

3. ∠13 and ∠14:

   • These angles are adjacent angles because they share a common side and vertex. If they form a straight line, they are also supplementary angles.

4. ∠11 and ∠14:

   • These angles appear to be vertical angles because they are opposite each other across the intersection of two lines.

Would you like more detailed explanations? Here are some related questions you might explore:

1. How can you determine if adjacent angles are also supplementary?
2. What defines complementary angles, and how do they differ from supplementary angles?
3. Can vertical angles ever be complementary or supplementary?
4. How can you identify vertical angles in complex diagrams?
5. What methods can be used to measure angles if the degrees are not given?

Tip: Vertical angles are always equal, while adjacent angles can be complementary (sum of 90°) or supplementary (sum of 180°) depending on the configuration.