What are Complementary Angles?

Complementary angles are pairs of angles that, when added together, result in a sum of 90 degrees. In essence, they complement each other to form a right angle. The definition is fundamental in geometry, providing a basis for understanding the relationships between angles within geometric figures.

∠x + ∠y = 90

For instance, if one angle measures 30 degrees, its complementary angle would measure 60 degrees, as their sum equals 90 degrees. This concept is pivotal in solving various problems involving angles, aiding in the analysis of geometric shapes and measurements.

Types of Complementary Angles

There are two types of complementary angles that are,

• Adjacent Complementary Angles
• Non- adjacent Complementary Angles

Adjacent Complementary Angles

Adjacent Complementary Angles refers to a pair of angles that share a vertex and arm.

Non- Adjacent Complementary Angles

Non-adjacent complementary angles are a pair of two complementary angles that are not next to one another.

Trigonometry ratios of complementary angles are the ratios related to trigonometry when their angles are complementary. Complementary angles are angles when the sum of angles is 90 degrees. Suppose we have two angles ‘a’ and ‘b’ that are complementary, then if sin a = x then sin b = y now cos a = y and cos b = x.

In this article, we will learn about Trigonometric Ratios, Complementary Angles, Trigonometric Ratios of Complementary Angles, Examples, and others in detail.