Exploring the Concept of Complementary Angles | Definition, Examples, and Applications in Math and Geometry

Complementary angles

Complementary angles are a pair of angles that add up to 90 degrees

Complementary angles are a pair of angles that add up to 90 degrees. In other words, when you have two angles that are complementary, they “complete” each other to form a right angle.

For example, let’s say we have angle A and angle B. If angle A measures 40 degrees, then angle B would be complementary if it measures 50 degrees, because 40 + 50 = 90 degrees.

Some examples of complementary angles in everyday life include the angles of a rectangular window frame or the hands of a clock at 3 o’clock.

It’s important to note that complementary angles do not have to be adjacent (next to each other) or even in the same shape. As long as the sum of the measures of two angles is 90 degrees, they are considered to be complementary.

Complementary angles are useful in solving problems involving right triangles, trigonometry, and geometry in general. They provide a way to relate and find relationships between angles in a given figure or situation.

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