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What is true about the angles in similar triangles?

  1. The corresponding angles are equal

  2. The corresponding angles are different

  3. The corresponding angles add up to 90 degrees

  4. The corresponding angles are obtuse

The correct answer is: The corresponding angles are equal

In similar triangles, it is true that the corresponding angles are equal. This property is fundamental to the concept of similarity in geometry. When two triangles are similar, they have the same shape, which means that all corresponding angles are congruent. This indicates that the triangles can vary in size but maintain proportional dimensions, ensuring that their angles remain unchanged. The equality of corresponding angles is essential for establishing the similarity of triangles, and this principle helps in various applications, such as solving for unknown angles and sides while maintaining the integrity of the geometric relationships. Consequently, this is why the first statement is correct.