Answer :

Answer:

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The two triangles ( triangle ABD ) and ( triangle CBD ) are congruent because:

1. Angle ( angle A ) and angle ( angle C ) are both 55°.

2. The sides ( AD ) and ( CD ) are equal.

3. The side ( BD ) is common to both triangles.

So, we can use the Angle-Side-Angle (ASA) postulate to say that ( triangle ABD ) and ( triangle CBD ) are congruent. This means the two triangles are exactly the same in size and shape.

Step-by-step explanation:

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