Chapter 1.4, Problem 3WE

To determine

Name the angle $\angle 1$ of below plot:

Answer to Problem 3WE

Another names of angle $\angle 1$ are $\angle ELS$ and $\angle SLE$ .

Explanation of Solution

Given:

The plot is shown below:

Calculation:

Consider an angle as shown below:

The above angle can be named in three ways such as:

  $\begin{array}{l}\angle 1\\ \angle ABC\\ \angle CBA\\ And,\\ \angle B\end{array}$

The given angle ( B ) must be in center.

Here, the given plot is shown below:

Thus, angle $\angle 1$ can be named as:

  $\begin{array}{l}\angle ELS\\ And,\\ \angle SLE\end{array}$

Hence, another names of angle $\angle 1$ are $\angle ELS$ and $\angle SLE$ .