Respuesta :

Answer:

x = 1

Step-by-step explanation:

  • Triangle ABC and DEF are called congruent triangles.
  • They follow the SAS rule (Side-Angle-Side), which means they have two equal sides, AC = DF and BC = EF, and one equal angle, angle C = angle F, that we know of
  • So since they satisfy the SAS, we know the are basically the same size
  • With that in mind, the corresponding sides will be equal, so side AB = DE
  • [tex]AB=DE\\2x-1=5x-4\\2x-(5x)-1+(1)=5x-(5x)-4+(1)\\-3x=-3\\x=1[/tex]
  • Note: It is usually easier when you draw the triangles and see what you're working with
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