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Complementary angles are defined as which of the following?

  1. Two angles whose sum is 360 degrees

  2. Two angles whose sum is 90 degrees

  3. Two angles whose measures are equal

  4. Two angles that form a straight line

The correct answer is: Two angles whose sum is 90 degrees

Complementary angles are defined as two angles whose measures add up to 90 degrees. This definition is fundamental in geometry, especially when working with right angles, as each pair of complementary angles combines to form a right angle. The importance of understanding complementary angles extends to various applications in mathematics, engineering, and physics, where precise angle measurements are crucial. For example, if one angle measures 30 degrees, its complementary angle would measure 60 degrees because 30 + 60 = 90 degrees. This understanding is essential when solving problems involving right triangles, angle relationships, and other geometric figures. The other definitions provided do not align with the established geometric definition, as they describe different types of angles entirely.