Question

Define adjacent angles.

Answer 1

Adjacent angles: Two angles are called adjacent angles, if:

1. They have the same vertex,

2. They have a common arm, and

3. Uncommon arms are on either side of the common arm.

In the figure above, ∠AOC and ∠BOC have a common vertex O.

Also, they have a common arm OC and the distinct arms  AOand BO, lies on the opposite sides of the line OC.

Therefore, ∠AOC and ∠BOC are adjacent angles.