In geometry, adjacent angles are defined as two angles that share a common side and a common vertex, yet do not overlap. To determine which pairs of angles are adjacent, you need to look closely at their positions and relationships.
Consider the following pairs of angles:
- Angle A and Angle B
- Angle C and Angle D
- Angle E and Angle F
For practical application, let’s say:
- Angle A = 40 degrees and Angle B = 140 degrees
- Angle C = 90 degrees and Angle D = 90 degrees
- Angle E = 30 degrees and Angle F = 50 degrees
If Angle A and Angle B meet at a vertex and share a side, they would be classified as adjacent. Similarly, if Angle C and Angle D intersect at a vertex and have a common side without overlapping, then they are also adjacent. However, if Angle E and Angle F do not share any sides and are located at different vertices, they are not adjacent.
Thus, the identification of adjacent angles comes down to examining their layout in any given geometric figure. In summary, look for the angles that share a common vertex and one side, and they will be your adjacent angles.