Answer:
[tex]x=33[/tex]
Step-by-step explanation:
We have been given given that triangle ABC is congruent to triangle DFE. We are asked to find the value of x.
Since triangle ABC is congruent to triangle DEF, so:
[tex]\overline{AB}=\overline{DF}[/tex]
[tex]\overline{CA}=\overline{ED}[/tex]
[tex]\overline{BC}=\overline{FE}[/tex]
Upon substituting the value of BC and FE in equation, we will get:
[tex]20=x-13[/tex]
Switch sides:
[tex]x-13=20[/tex]
Add 13 on both sides:
[tex]x-13+13=20+13[/tex]
[tex]x=33[/tex]
Therefore, the value of x is 33 for our given triangles.
