In terms of angle measurement, what is the significance of complementary angles?

Complementary angles are defined as two angles whose measures add up to exactly 90 degrees. This concept is fundamental in geometry and trigonometry because it establishes a relationship between angles that can be used to solve problems and understand various geometric configurations.

The significance of complementary angles lies in their application in various mathematical contexts, such as right triangles, where one acute angle complements the other to form a right angle. This relationship is particularly important in trigonometry, where the sine, cosine, and tangent functions often utilize complementary angles to express relationships and formulas.

In contrast to the other choices, complementary angles do not necessarily have to be acute or obtuse, nor do they sum to 180 degrees, which would relate to supplementary angles instead. This distinction helps in accurately describing and working with different types of angles in mathematics.