Draw rough diagrams of two angles such that they have
Three points in common.

Answer

To solve the problem of drawing two angles that share three common points, follow these steps:

### Step-by-Step Solution:

1. **Draw the First Angle:**
- Start by drawing a horizontal line. This will be one side of the first angle.
- From one end of the line, draw another line at an angle (for example, a 45-degree angle) to create the first angle. Label the vertex of this angle as point O.

2. **Label the First Angle:**
- Choose two points on the lines you just drew. Label the point on the horizontal line as point A and the point on the angled line as point B.
- Now you have angle AOB.

3. **Draw the Second Angle:**
- From point O, draw another line at a different angle (for example, a 30-degree angle) to create the second angle. This line should intersect the first angle.
- Label the point on the new line as point C.

4. **Label the Second Angle:**
- Now you have two angles: angle AOB and angle BOC.
- The common points among these angles are points O, B, and C.

5. **Identify the Common Points:**
- The three common points in the two angles are O, B, and C. You can clearly see that both angles share these points.

### Diagram:
- Draw a rough sketch with the angles and label the points as described above.

### Summary of Points:
- The first angle is AOB.
- The second angle is BOC.
- The three common points are O, B, and C.