Geometry

Question Analysis  

This question involves the Triangle AA (Angle - Angle) Similarity Postulate. The main focus is to determine if the two triangles have two pairs of congruent angles. If they do, then the triangles are similar according to the AA similarity postulate.

 

Key Concept Explanation:

The AA (Angle - Angle) Similarity Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. This is based on the fact that the sum of the interior angles of a triangle is always 180°. So, if two angles are the same in two different triangles, the third angles must also be equal.

 

Step - by - Step Solution

1. In the given triangles  and , we can see that two pairs of angles are marked as congruent (the red - arc marked angles).

2. By the AA (Angle - Angle) Similarity Postulate, since two pairs of angles are congruent, we can conclude that

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