Complementary Angles
Two angles whose sum is 90 degrees.
Complementary angles are two angles whose sum is 90 degrees. In other words, if you have two angles, and when you add them up you get 90 degrees, then we say that those two angles are complementary to each other.
For example, suppose we have two angles, x and y. If their sum is 90 degrees, then we can write this as:
x + y = 90
In this case, we say that x and y are complementary angles.
Complementary angles are important in many areas of mathematics and science, including geometry, trigonometry, and physics. For example, when working with right triangles in geometry or trigonometry, we often use complementary angles to help solve problems.
One important fact to remember is that complementary angles do not have to be adjacent (i.e., next to each other). They can be anywhere in the triangle, as long as when you add them up, they equal 90 degrees.
Finally, it’s important to note that the term complementary can also be used in other contexts, outside of mathematics. For example, you might hear people talk about complementary colors in art and design, or complementary skills in the workplace. In these cases, the term means something slightly different, although the basic idea of complementarity (i.e., when two things work well together or enhance each other) is still the same.
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