What are complementary angles?

Complementary angles are defined as two angles whose measures add up to exactly 90 degrees. This concept is fundamental in geometry, as it helps to form right angles, which are critical in various applications, including construction, engineering, and trigonometry. When two angles meet this criterion, each angle is considered the complement of the other. The term “complementary” reflects how these angles work together to complete a right angle.

Understanding this definition is essential because it not only distinguishes complementary angles from other types of angles, such as supplementary angles (which add up to 180 degrees) but also forms the basis for solving various geometric problems involving angle relationships. Knowing that complementary angles contain a specific sum enables deeper analysis of angle properties in various shapes and configurations.