https://file.aiquickdraw.com/mathbot/file/1726186966874xbc2zeun.jpg

To answer the question from the image, we need to identify complementary angles (angles whose sum is 90°) from the diagram and classify them as adjacent or nonadjacent.

### **1. Adjacent Complementary Angles:**
- **Adjacent angles** share a common side and vertex.
- In the diagram, \( \angle WRU = 55^\circ \) and \( \angle URV = 35^\circ \) are adjacent, and their sum is \( 55^\circ + 35^\circ = 90^\circ \), making them a pair of **adjacent complementary angles**.

### **2. Nonadjacent Complementary Angles:**
- **Nonadjacent angles** do not share a common side or vertex.
- \( \angle WUR = 45^\circ \) and \( \angle VRT = 45^\circ \) are nonadjacent, and their sum is \( 45^\circ + 45^\circ = 90^\circ \), making them a pair of **nonadjacent complementary angles**.

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Would you like more details or have any questions? Here are five follow-up questions you could explore:

1. What are the properties of complementary angles?
2. Can two obtuse angles ever be complementary?
3. How are complementary and supplementary angles different?
4. What is the significance of adjacent versus nonadjacent angles in geometry?
5. Can you think of real-life examples where complementary angles are used?

### Tip:
To quickly check if two angles are complementary, simply verify if their sum is 90°.

Name one pair of adjacent complementary angles; of nonadjacent complementary angles.

Learn how to identify adjacent and nonadjacent complementary angles in geometry. Understand how angles whose sum is 90° can be classified based on their position. Ideal for students in Grades 6-8.

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