Understanding Complementary Angles: Explained with Examples

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 have two angles that are complementary, the sum of their measures will be equal to 90 degrees.

For example, let’s say we have two angles, A and B. If A + B = 90 degrees, then A and B are complementary angles. It’s important to note that in a pair of complementary angles, each angle is the complement of the other.

To illustrate this concept, let’s consider an example. Let’s say we have an angle A that measures 30 degrees. To find its complement, we need to determine the angle B that, when added to A, gives us a sum of 90 degrees.

We can calculate B by subtracting the measure of angle A from 90 degrees, since the sum of complementary angles is equal to 90 degrees. So, B = 90 degrees – 30 degrees = 60 degrees.

Therefore, in this example, angle A measures 30 degrees and angle B measures 60 degrees. They are complementary angles because their sum is 90 degrees.

Complementary angles are commonly found in geometric problems, such as finding the measures of angles in a right triangle. The concept of complementary angles can also be extended to more than two angles. For example, three angles that add up to 90 degrees are called supplementary angles.

I hope this explanation helps you understand the concept of complementary angles. If you have any further questions, feel free to ask!

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