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The triangles AEB and DEC are congruent by the SAA congruence theorem

How to prove that the triangles are congruent?

The given parameters are:

  • AE ≅ DE
  • ∠A ≅ ∠D
  • ∠AEB ≅ ∠DEC

The above parameters mean that:

  • AE ≅ DE; Line segments AE and DE are congruent
  • ∠A ≅ ∠D; Angles A and D are congruent
  • ∠AEB ≅ ∠DEC; Angles AEB and DEC are congruent

Also, it means that two corresponding angles and one corresponding side on triangles AEB and DEC are congruent;

This represents the ASA congruence theorem.

Hence, ΔAEB and ΔDEC are congruent by the SAA congruence theorem

Read more about congruent triangles at:

https://brainly.com/question/1675117

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