Respuesta :

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

we know that

If triangles DEF and ABC are congruent, then

DF≅AC

DE≅AB

EF≅BC

therefore

[tex]5x-8=3x+2[/tex]

Solve for x

[tex]5x-3x=2+8[/tex]

[tex]2x=10[/tex]

[tex]x=5[/tex]