Chapter 8, Problem 1RE

In Exercises 1-6, use the figure shown to determine the following. Many answers are possible.

1. $\stackrel{\to }{\text{BF}}\cup \stackrel{\to }{\text{BC}}$

To determine

The union of the rays $\overrightarrow{BF}\cup \overrightarrow{BC}$ from the given figure.

Answer to Problem 1RE

The union of the rays is $\overrightarrow{BF}\cup \overrightarrow{BC}=\measuredangle CBF$.

Explanation of Solution

The union of the rays $\overrightarrow{BF}\text{ and }\overrightarrow{BC}$ forms an angle.

The union of the two lines is obtained through the help of the graph shown in below Figure 1.

From Figure 1, it is observed that the union of the rays $\overrightarrow{BF}\text{ and }\overrightarrow{BC}$ forms an angle named as $\measuredangle CBF$.

Thus, the union of the rays is $\overrightarrow{BF}\cup \overrightarrow{BC}=\measuredangle CBF$.