Understanding Complementary Angles: Exploring the Relationship of Angles that Add Up to 90 Degrees

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 two angles are complementary, the sum of their measures is always equal to 90 degrees.

For example, let’s consider angle A and angle B. If the measure of angle A is x degrees, then the measure of angle B will be 90 – x degrees. Conversely, if the measure of angle B is y degrees, then the measure of angle A will be 90 – y degrees.

Here are a few examples:

1. If angle A measures 40 degrees, angle B will measure 90 – 40 = 50 degrees. So, angle A and angle B are complementary.

2. If angle B measures 60 degrees, angle A will measure 90 – 60 = 30 degrees. Again, angle A and angle B are complementary.

3. If the two angles are already complementary, such as 45 degrees and 45 degrees, then their sum will always be 90 degrees.

Complementary angles are often seen in real-world scenarios. For instance, the angles of a right triangle, where one angle measures 90 degrees, are complementary. Additionally, when you have two perpendicular lines intersecting, the angles formed are also complementary.

To summarize, complementary angles are a pair of angles that add up to 90 degrees. Remember that if you know the measure of one angle, you can find the measure of its complementary angle by subtracting it from 90 degrees.

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