https://file.aiquickdraw.com/mathbot/file/1724423954113l0rwlud7.jpg

(a) Name the vertex of <1. (b) Name the sides of <NMQ (c) ) Write two other names for <2

To solve the problems given in the image, let's analyze each part:

### Given Information:
There is a diagram with labeled points M, N, O, and Q, and various angles marked with numbers like <1 and <2. Let's address each question based on this diagram.

### (a) Name the vertex of <1.
- **Answer**: The vertex of an angle is the common endpoint of its sides. For <1, which is ∠NMQ, the vertex is point **M**.

### (b) Name the sides of <NMQ.
- **Answer**: The sides of an angle are the rays that make up the angle. For <NMQ (which is also represented as <1 in the diagram):
  - The sides are **NM** and **MQ**.

### (c) Write two other names for <2.
- **Answer**: <2 can be named based on the points that form this angle. Assuming <2 is ∠OMQ:
  - Two other names for <2 can be **∠QMO** and **∠MOQ**.

Would you like more details on any of these parts, or do you have any additional questions?

### Related Questions:
1. What defines the vertex of an angle?
2. How can you determine the sides of an angle from a diagram?
3. What are some other ways to name an angle?
4. How do you identify angles when they are labeled with numbers?
5. What are the properties of adjacent angles in a diagram like this?

### Tip:
When identifying angles in a diagram, always look for the common endpoint of the rays (the vertex) and trace the rays that form the angle to correctly name it.

Explore how to identify the vertex and sides of angles in geometry. Learn different ways to name angles based on their points. Suitable for students in Grades 7-9.

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