Exercise 33 Page 282

Let's use colors to indicate corresponding vertices in the given congruence.

Drawing the Figure

Let's use the colors also on the diagram.

Finding $x$

To find $x,$ let's focus on the segments where the length is given in terms of $x.$

Notice, that these are corresponding sides in the congruent triangles, so they are congruent. Congruent segments have the same measure. This allows us to set up and solve an equation for $x.$ If the triangles are congruent, then $x=19.$

Finding $y$

To find $y,$ let's focus on the segment where the length is expressed in terms of $y.$ We also need to consider the information given about the corresponding segment in the other triangle.

Corresponding sides in the congruent triangles are congruent. Congruent segments have the same measure. This allows us to set up and solve an equation for $y.$ If the triangles are congruent, then $y=3.$