Complementary Angles
Two angles with a sum of 90 degrees
Complementary angles are two angles whose sum is equal to 90 degrees. In other words, if you add the measures of two complementary angles, you will get 90 degrees. Complementary angles are important in geometry because they help determine the relationship between two angles in a figure.
For example, if you know that two angles in a triangle are complementary, then you can determine the third angle by subtracting the sum of the two complementary angles from 180 degrees (the sum of all angles in a triangle).
Complementary angles are also important in trigonometry, where they are used to find the values of sine, cosine, and tangent of angles. For example, if you know that an angle is complementary to another, you can use the relationship between sine, cosine, and tangent to find the value of one given the value of the other.
An example of complementary angles would be 30 degrees and 60 degrees. These two angles add up to 90 degrees, making them complementary. Another example would be 45 degrees and 45 degrees, which also add up to 90 degrees.
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