Understanding Complementary Angles | Exploring Their Definition, Properties, and Applications in 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, if you add the measures of two complementary angles together, the sum will always be equal to 90 degrees.

For example, let’s say we have two angles, angle A and angle B. If angle A measures 30 degrees, then angle B would be its complementary angle and would measure 60 degrees. If we add the measures of angle A and angle B together (30 + 60), we get 90 degrees.

Complementary angles do not have to be adjacent or next to each other. They can be located anywhere as long as their measures add up to 90 degrees.

Complementary angles are commonly found in various geometric shapes and problems. For instance, in a right triangle, one of the angles is always 90 degrees, and the other two angles are complementary to each other.

To find the complement of an angle, subtract the angle’s measure from 90 degrees. For example, if an angle measures 25 degrees, its complement would be 90 – 25 = 65 degrees.

Complementary angles can also be used in solving equations involving angles. For instance, if you have an equation with an unknown angle and its complement, you can set up an equation using the property that their sum is equal to 90 degrees.

In summary, complementary angles are a pair of angles that add up to 90 degrees. They are commonly used in geometry and can be found in various shapes and problems.

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