Final answer:
Two angles are complementary if the sum of their degrees equals 90. This concept is applicable in several areas of mathematics and physics, particularly in situations like determining if vectors are perpendicular or forming right angles.
Step-by-step explanation:
In mathematics, two angles are said to be complementary if the sum of their measures is equal to 90 degrees. For example, if we have two angles, one measuring 30 degrees and the other one 60 degrees, these angles are complementary because their sum is 90 degrees. This concept is often used in trigonometry and geometry.
Furthermore, in the context of vectors (a topic in physics), two vectors are said to be perpendicular or orthogonal if the angle between them is 90 degrees. This is analogous to complementary angles in a right triangle. If a vector is broken down into its components, say Ax and Ay, then Ax and Ay can be viewed as forming a right triangle with the vector A, and the angle between Ax and Ay is 90 degrees, similar to the relationship between complementary angles.
Learn more about Complementary Angles