The order of the vertices in the given congruence statement tells us which vertices correspond in the polygons. Let's use colors to illustrate this.
B C DE
≅
R S TUBy the order of the vertices in the names of the polygons, we can tell which segments are corresponding segments.
In congruent polygons, the corresponding segments are congruent, so they have the same measure. This allows us to set up and solve an equation for z.
<deduct>
ED=UT
ED= 3z+10, UT= z+16
{\color{#0000FF}{3z+10}}={\color{#009600}{z+16}}
