Question

In the given figure, are the following adjacent angles? Justify your answer.
(a) ∠AOB and ∠BOC
(b) ∠BOD and ∠BOC

Answer 1

Part a.

• $\angle AOB$ and $\angle BOC$ are having a common vertex as O.
• Also, they share a common arm as OB and
• The non- common arms OA and OC are on either side of the common arm OB.
• Thus, $\angle AOB$ and $\angle BOC$ are adjacent angles.

Part b.

• $\angle BOD$ and $\angle BOC$ are having a common vertex as O,
• Also, they share a common arm as OB.
• But the non common arms are the same side of the common arm.
• Thus, $\angle BOD$ and $\angle BOC$ are not adjacent angles.