To identify the names that can be used for the angle ABC (where B is the vertex), we can denote angle ABC as <ABC.
Angles can be named using the following methods:
- Using the vertex and the points on either side of the angle.
- Using a single letter at the vertex (in this case, B).
- Using a three-letter combination that includes the vertex.
For angle ABC, the names you can typically use include:
- <ABC (the standard notation)
- <B (using the vertex)
- <CBA (order matters, but this is valid as it indicates the angle at B using points C and A)
- <ACB (again this is valid using points A and C with B as the vertex)
- <BAC (valid as it also uses point B as the vertex)
- <CAB (valid with vertex B and points C and A)
Given the options you provided, the best choice would be:
Option 4: <ABC, <B, <2, <CBA.
This option correctly identifies <B as a representation of angle ABC and includes other valid naming conventions.