Question

Find out three linear pairs from the figure.

• A. $\angle$DOA and $\angle$AOC
• B. $\angle$BOD and $\angle$ BOC
• C. $\angle$AOE and $\angle$EOB
• D. $\angle$AOE and $\angle$COB

Answer 1

Answer: (A), (B), (C)

The correct options are
A $\angle$DOA and $\angle$AOC
B $\angle$BOD and $\angle$ BOC
C $\angle$AOE and $\angle$EOB

If the angles add up to 180°, that is a straight angle, then it is called a linear pair.

• $\angle$DOA and $\angle$AOC forms a linear pair.
• $\angle$BOD and $\angle$ BOC forms a linear pair.
• $\angle$AOE and $\angle$EOB forms a linear pair.
• $\angle$AOE and $\angle$COB does not form linear pair.

Hence $\angle$DOA and $\angle$AOC, $\angle$BOD and $\angle$ BOC, $\angle$AOE and $\angle$EOB form linear pair.