Adjacent angles definitions
| Word backwards | tnecajda selgna |
|---|---|
| Part of speech | "Noun" |
| Syllabic division | ad-ja-cent an-gles |
| Plural | The plural of the word adjacent angles is adjacent angles. |
| Total letters | 14 |
| Vogais (2) | a,e |
| Consonants (8) | d,j,c,n,t,g,l,s |
Adjacent Angles
Adjacent angles are angles that share a common vertex and a common side but do not overlap. In other words, they are angles that are side by side, sharing a side, and a vertex.
Adjacent angles may or may not be complementary, which means their measures add up to 90 degrees. If they are complementary, then they are called complementary adjacent angles.
When two adjacent angles add up to 180 degrees, they are called linear pair or supplementary angles. This means the two angles form a straight line.
Properties of Adjacent Angles:
1. The sum of the measures of adjacent angles always equals the total measure of the angle.
2. Adjacent angles have a common side and a common vertex.
3. Adjacent angles can be supplementary, complementary, or neither.
4. If two adjacent angles are supplementary, then they form a straight angle or a linear pair.
5. Adjacent angles can be adjacent vertically, horizontally, or diagonally, depending on their orientation.
Understanding the concept of adjacent angles is crucial in geometry as it helps in solving various problems related to angles, lines, and shapes. By recognizing and identifying adjacent angles, one can analyze geometric figures more effectively and draw connections between different angles within a shape.
Adjacent angles Examples
- When two lines intersect, the angles formed on the same side of the intersection point are known as adjacent angles.
- In a rectangle, the angles at the corners are adjacent angles.
- Adjacent angles add up to 180 degrees when they form a straight line.
- In a parallelogram, opposite angles are equal and adjacent angles are supplementary.
- Adjacent angles are commonly used in geometry to solve problems involving angles and lines.
- When two adjacent angles have a common side, they form a linear pair.
- Adjacent angles are often used to determine the measurements of interior angles in polygons.
- If two angles are adjacent and equal, they are called congruent angles.
- Adjacent angles are considered to be adjacent only if they share a common vertex and side.
- Adjacent angles play a significant role in understanding the properties of shapes and figures in mathematics.