To find the value of x, we will first draw the diagram by carefully matching the relationship between the vertices.
Drawing the Figure
The first piece of information tells us the congruence of two triangles. The order of the letters in the congruence indicates corresponding vertices.
△ Q R S≅△ G H JWe are also given the measure of several sides. Let's put all the information on the figure.
Finding x
To find x, let's focus on H J, where the measure is expressed in terms of x.
Notice that the measure of the corresponding side R S of the other triangle is given. Since these are corresponding sides of congruent triangles, their measures are the same.
