fill in the blanks to make the statements true.
Adjacent angles have a common vertex, a common __________ and no common _________.

Answer

To fill in the blanks in the statement "Adjacent angles have a common vertex, a common ________ and no common _________", we can follow these steps:

1. **Understanding the Definition of Adjacent Angles**:
- Adjacent angles are angles that share a common vertex and a common side, but do not overlap.

2. **Identifying the Common Elements**:
- The common vertex is the point where the two angles meet.
- The common side is one of the rays that form the angles.

3. **Identifying What is Not Common**:
- Since adjacent angles do not overlap, they do not share any interior points.

4. **Filling in the Blanks**:
- The first blank should be filled with "arm" (referring to the common side).
- The second blank should be filled with "interior point" (indicating that there are no common points within the angles).

Thus, the completed statement is: "Adjacent angles have a common vertex, a common **arm** and no common **interior point**."