Adjacent complementary angles are two angles that share a common vertex and a common side, and their measures add up to 90 degrees. In other words, they are angles that are next to each other and together form a right angle.
For example, if you have two angles, one measuring 30 degrees and the other measuring 60 degrees, and they share a common side and vertex, they are adjacent complementary angles. This is because 30 degrees + 60 degrees = 90 degrees, which is the measure of a right angle.
Understanding adjacent complementary angles is important in geometry, especially when dealing with right triangles and other geometric shapes where right angles are present. These angles help in solving various problems related to angles and shapes in mathematics.