Chapter 11.2, Problem 22PPS

To determine

To find: The value of given unknown variable.

Answer to Problem 22PPS

  $x=9$

Explanation of Solution

Given information:

  $\Delta HKJ\cong \Delta WXV$

Concept and Formula Used:

The concept of congruent triangles is used. Two triangles are said to be congruent if their corresponding sides and the corresponding angles are equal.

Calculation:

As given that . $\Delta HKJ\cong \Delta WXV$ , and we know that the two triangles are congruent if their parts are congruent, so we have $H\leftrightarrow W,K\leftrightarrow X,J\leftrightarrow V$ , therefore the corresponding sides are equal, so we have

  $\begin{array}{l}WX=HK\\ 3x+5=32\\ 3x=32-5\\ 3x=27\\ x=\frac{27}{3}\\ x=9\end{array}$

Conclusion:

  $x=9$