Complementary angles are two angles whose measures add up to 90 degrees. For example, if one angle measures 30 degrees, the other must measure 60 degrees to be complementary. These angles are often found in various geometric shapes and are useful in solving problems related to angles in triangles and other figures. In practical applications, complementary angles can be seen in everyday situations, such as in the design of corners or furniture. Understanding complementary angles is essential in fields like architecture and engineering, where precise measurements are crucial for creating functional and aesthetically pleasing structures.