Chapter 1.CT, Problem 1CT

Given $\angle ABC$ (as shown), provide a second correct method for naming this angle.

To determine

To find:

The second correct method for naming the given angle.

Answer to Problem 1CT

Solution:

The second correct method for naming the given angle is $\angle CBA$.

Explanation of Solution

Given:

The given figure is,

Approach:

To name an angle correctly, use three point letters. The second letter must be the vertex and the first and third letter must be a point on the rays that are the sides of the angle. So, for $\angle ABC$, $B$ is the vertex and $A$ is the point at ray $BA$ and $C$ is the point at ray $BC$.

Similarly, if $A$ is listed as the third letter and $C$ is listed as the first letter then the same angle can be described as $\angle CBA$.

Conclusion:

Thus, the second correct method for naming the given angle is $\angle CBA$.