Chapter 9.2, Problem 50SPR

To determine

To find: The value of $\angle KJL$ .

Answer to Problem 50SPR

The value of $\angle KJL$ is $\angle KJL=30°$ .

Explanation of Solution

Given information:

The given figure is shown in figure (1).

  

Figure (1)

Calculation:

In a parallelogram opposite sides are always parallel to each other.

In $▱JKLM$ . $JK$ is parallel to $ML$ and $JM$ to $LK$ .

Consider parallel lines $JK$ and $ML$ , and transverse $JL$ . Here because alternatively opposite angles are equal.

  $\begin{array}{l}\angle KJL=\angle MLJ\\ \angle KJL=30°\end{array}$

Therefore, the value of $\angle KJL$ is $\angle KJL=30°$ .