Adjacent Angles
Angles that share one side
Adjacent angles are two angles that share a common vertex and a common side. They do not overlap each other. The non-common sides of the adjacent angles form a straight line.
The sum of the measures of adjacent angles is equal to the measure of the straight line. This relationship is known as the adjacent angles theorem. Mathematically, we can write the adjacent angles theorem as:
If two angles are adjacent, then the sum of their measures is equal to 180 degrees.
Adjacent angles can be classified based on their degree measures:
– Complementary angles: Two adjacent angles are complementary if their sum is equal to 90 degrees. In other words, if one angle measures x, the other angle measures (90-x).
– Supplementary angles: Two adjacent angles are supplementary if their sum is equal to 180 degrees. In other words, if one angle measures x, the other angle measures (180-x).
– Congruent angles: Two adjacent angles are congruent if they have the same measure.
Adjacent angles are commonly found in geometric figures such as polygons and parallel lines. Understanding the properties of adjacent angles is important in solving geometry problems that involve measuring angles and finding missing angle measures.
More Answers:
Mastering Geometry: Vertical, Corresponding, Alternate Interior, And Alternate Exterior AnglesComplementary Angles: Exploring The Relationship Between Angles In Geometry.
Vertical Angles In Geometric Reasoning: Properties And Examples