Understanding Complementary Angles in Mathematics | Definition, Properties, and Applications

Complementary

In mathematics, the term “complementary” refers to two angles that, when added together, equal a right angle (90 degrees)

In mathematics, the term “complementary” refers to two angles that, when added together, equal a right angle (90 degrees). More specifically, if two angles are complementary, then the sum of their measures is equal to 90 degrees.

For example, if we have one angle that measures 45 degrees, its complementary angle would measure 45 degrees as well, because 45 degrees + 45 degrees = 90 degrees.

Another example would be if we have an angle measuring 30 degrees, its complementary angle would measure 60 degrees, as 30 degrees + 60 degrees = 90 degrees.

Complementary angles are often used in geometry and trigonometry to analyze and solve problems involving angles and right triangles. They are important in various applications, such as finding missing angles in a triangle or determining the measure of an angle in a figure.

It is worth noting that complementary angles don’t have to be adjacent or next to each other; they can be separated by other angles or lines. As long as their measures sum up to 90 degrees, they are considered complementary.

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