Respuesta :

Answer:

Congruent

Step-by-step explanation:

There are two triangular panels ΔABC and ΔDBE used in the gate.

Since, ∠ABC ≅ ∠DBE [Given]

∠ACB ≅ ∠DBE [Given]

AB ≅ DE [Given]

Therefore, by AAS postulate of congruence, both the triangles will be congruent.

ΔABC ≅ ΔDBE

Hence, we can say that the solid panels used in the gate are congruent.

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akposevictor

The two solid triangular panels are congruent by the AAS Congruence Theorem.

What is the AAS Congruence Theorem?

When two angles and a non-included side of a triangle are congruent to two angles and a non-included side of another, the triangles are congruent by the AAS Congruence Theorem.

In the image given, we have the following:

  • Two angles in one triangle that are congruent to two angles in the other (30 and 90 degrees).
  • One non-included side length in one that is congruent to another in the other triangle.

Therefore, the two solid triangular panels are congruent by the AAS Congruence Theorem.

Learn ore about the AAS Congruence Theorem on:

https://brainly.com/question/19258025

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