Math worksheet for identifying vertices and sides of angles.

I'll solve this worksheet by identifying the vertex and sides for each angle shown in the image.

Let me go through each angle one by one:

First Angle (top left):
- Vertex: O (the point where the two rays meet)
- Sides: OA and OB (the two rays forming the angle)

Second Angle (top right):
- Vertex: N (the point where the two rays meet)
- Sides: NL and NM (the two rays forming the angle)

Third Angle (middle left):
- Vertex: M (the point where the two rays meet)
- Sides: ML and MN (the two rays forming the angle)

Fourth Angle (middle right):
- Vertex: O (the point where the two rays meet)
- Sides: OP and OR (the two rays forming the angle)

Fifth Angle (bottom left of middle row):
- Vertex: Y (the point where the two rays meet)
- Sides: YX and YZ (the two rays forming the angle)

Sixth Angle (bottom right of middle row):
- Vertex: S (the point where the two rays meet)
- Sides: SR and ST (the two rays forming the angle)

Seventh Angle (bottom left):
- Vertex: V (the point where the two rays meet)
- Sides: VU and VW (the two rays forming the angle)

Eighth Angle (bottom right):
- Vertex: Y (the point where the two rays meet)
- Sides: YX and YZ (the two rays forming the angle)

The solution is to identify the vertex (the common endpoint of the two rays) and the sides (the two rays themselves) for each angle. In geometry, an angle is formed by two rays with a common endpoint, which is called the vertex. The rays are called the sides of the angle.