Complementary angles
Two angles whose sum is 90 degrees
Complementary angles are two angles whose measures add up to 90 degrees. In other words, if one angle is x degrees, then its complement angle is 90 – x degrees.
For example, if angle A measures 30 degrees, then its complement angle B would be 90 – 30 = 60 degrees. Conversely, if angle B measures 75 degrees, then its complement angle A would be 90 – 75 = 15 degrees.
Complementary angles are important in geometry because they are often used to solve problems involving right triangles. For example, if one angle in a right triangle is known to be 30 degrees, then its complementary angle (the one opposite the right angle) would be 60 degrees. This information can be used to find the lengths of the sides of the triangle using trigonometric functions such as sine, cosine, and tangent.
It is also important to note that two angles are complementary if and only if they both add up to 90 degrees. In other words, if two angles have a sum of 90 degrees, then they are complementary, and if two angles are complementary, then their sum is 90 degrees.
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