Respuesta :

frika

Answer:

See explanation

Step-by-step explanation:

Consider triangles ABC and DEC. In these triangles,

  • [tex]\angle 2\cong \angle 5[/tex] - given;
  • [tex]AB\cong DE[/tex] - given;
  • [tex]\angle 3\cong \angle 4[/tex] - as vertical angles when lines AD and BE intersect.

Thus, by AAS postulate, triangles ABC and DEC are congruent. Congruent triangles have congeruent corresponding sides.

So,

[tex]BC\cong EC[/tex]

The Angle Angle Side postulate (AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

Otras preguntas