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What is the measure of complementary angles?

  1. 45 degrees

  2. 90 degrees

  3. 180 degrees

  4. 360 degrees

The correct answer is: 90 degrees

The measure of complementary angles is defined as the sum of two angles equaling 90 degrees. This means that if you have one angle, the other angle must be measured such that when both angles are added together, they equal 90 degrees. For instance, if you have one angle measuring 30 degrees, its complementary angle would measure 60 degrees because 30 + 60 equals 90. This property is what defines complementary angles, making the correct choice 90 degrees. The other options represent different concepts in geometry: 45 degrees refers to a specific angle measure, 180 degrees is the sum of angles in a straight line or the measure of supplementary angles, and 360 degrees represents a full rotation or the sum of angles around a point.