Adjacent Angles
Adjacent angles are two angles that have a common vertex and a common side between them
Adjacent angles are two angles that have a common vertex and a common side between them. In other words, they share a corner point and one side that lies on the same line. The non-shared sides of adjacent angles form a straight line.
Adjacent angles can be classified into two types: adjacent supplementary angles and adjacent complementary angles.
Adjacent Supplementary Angles:
When two adjacent angles add up to 180 degrees, they are called adjacent supplementary angles. The sum of the measures of these angles forms a straight angle, which is a straight line. For example, if angle AOC and angle COB are adjacent angles, then AOC + COB = 180 degrees.
Adjacent Complementary Angles:
When two adjacent angles add up to 90 degrees, they are called adjacent complementary angles. The sum of the measures of these angles forms a right angle, which is 90 degrees. For example, if angle AOC and angle COB are adjacent angles, then AOC + COB = 90 degrees.
To identify adjacent angles, it is important to note that the angles must share a common vertex and a common side, and the non-shared sides should form a straight line or a right angle.
Please let me know if you have any further questions or if there is anything else I can help you with.
More Answers:
Understanding Supplementary Angles: Definitions, Examples, and Properties in GeometryUnderstanding Complementary Angles: A Guide to their Definition, Properties, and Applications in Mathematics
Understanding Vertical Angles: Congruence, Non-adjacency, and Linearity in Math