What is an adjacent angle?

In geometry, adjacent angles are two angles that share a common vertex and a common side, but do not overlap. Here's a breakdown:

• Definition: Two angles are considered <a href="https://www.wikiwhat.page/kavramlar/adjacent%20angles">adjacent angles</a> if they meet these three conditions:

  1. They have a common vertex (the point where the two rays that form the angle meet).
  2. They have a common side (a ray that is a side of both angles).
  3. They do not overlap (meaning they do not share any interior points).

• Key Properties:

  • Adjacent angles lie in the same plane.
  • The sum of two <a href="https://www.wikiwhat.page/kavramlar/adjacent%20angles">adjacent angles</a> can be any angle, it can be a right angle (90°), acute angle (less than 90°), obtuse angle (greater than 90° and less than 180°), straight angle (180°), or reflex angle (greater than 180° and less than 360°).

• Examples: Imagine a slice of pizza. If you cut that slice into two smaller slices, the two smaller slices will be adjacent angles. Each slice shares the vertex (the pointy end of the slice) and a common side (the cut you made to divide the original slice).

• Non-Examples: Two angles that only share a vertex but do not share a common side are not adjacent. Likewise, two overlapping angles are not adjacent.

• Relationship to Other Angle Pairs: Adjacent angles are often involved in defining other angle relationships, such as <a href="https://www.wikiwhat.page/kavramlar/linear%20pair">linear pair</a> (adjacent angles that form a straight line) and <a href="https://www.wikiwhat.page/kavramlar/supplementary%20angles">supplementary angles</a> (angles whose measures add up to 180°). Note that adjacent angles don't need to be supplementary.