Respuesta :

frika

Answer:

See explanation

Step-by-step explanation:

Consider triangles ABC and DEC. In these triangles,

  • [tex]\overline{BC}\cong \overline {EC}[/tex] - given
  • [tex]\overline{AC}\cong \overline {DC}[/tex] - given;
  • [tex]\angle ACB\cong \angke DCE[/tex] as vertical angles.

So,

[tex]\triangle ABC\cong \triangle DEC[/tex] by SAS postulate (two sides and angle between these sides of one triangle are congruent to two sides and angle between these sides of another triangle, so triangles are congruent).

Congruent triangles have congruent corresponding parts, hence,

[tex]\overline{BA}\cong \overline{ED}[/tex]