The number of common points in the two angles marked in Fig. 2.20 is ____.

3
Step 1: Find the common vertex (the corner where both angles start).
The same vertex is shared by both angles. So we have 1 common point.
Step 2: Look at the sides (arms) that overlap for both angles.
On one common side, there is a marked point. Count it as 1 more common point.
Step 3: On the other common side, there is another marked point. Count it as 1 more common point.
Total common points:
(1) (vertex) (+) (1) (point on first common side) (+) (1) (point on second common side)
(=) (3).