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What is the sum of two complementary angles?

  1. 90 degrees

  2. 180 degrees

  3. 360 degrees

  4. 270 degrees

The correct answer is: 90 degrees

Complementary angles are defined as two angles whose measures add up to 90 degrees. This fundamental property arises from the definitions in geometry, where when two angles are complementary, the two angles together form a right angle. Thus, when you are asked for the sum of two complementary angles, the correct answer is indeed 90 degrees. The other options represent sums of angles that do not relate to the definition of complementary angles. For instance, 180 degrees corresponds to supplementary angles, which are angles that add up to form a straight line, and 360 degrees reflects a complete rotation in a circle. The 270-degree option does not have a specific relationship to the classification of angles within standard angle definitions.