To find the values of the variables, we will first draw the diagram by carefully matching the relationship between the vertices.
Drawing the Figure
The first piece of given information tells us the congruence of two triangles. The order of the letters in the congruence indicates corresponding vertices.
△J K L≅△M N P
We are also given the measure of several sides and angles. Let's put all the information on the figure.
Finding x
To find x, let's focus on the segment where the measure is expressed in terms of x.
Notice that J L and M P are corresponding sides of two congruent triangles, so their measures are the same.
