Chapter 11.4, Problem 55SR

To determine

To find: The value of $x$ .

Answer to Problem 55SR

The value of $x=30$ .

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

Two polygons are similar only when the corresponding angles are equal and congruent and corresponding side length are in proportion.

Then,

  $\begin{array}{l}m\angle L=m\angle S\\ 30=x\end{array}$