Question

Which of the following is/are the pairs of adjacent angles in the figure shown?

• A. $\angle AOB\text{and}\angle COD$
• B. $\angle AOD\text{and}\angle COD$
• C. $\angle BOC\text{and}\angle COD$
• D. $\angle AOC\text{and}\angle AOB$

Answer 1

Answer: (B), (C)

The correct options are
B $\angle AOD\text{and}\angle COD$
C $\angle BOC\text{and}\angle COD$

Angles are said to be adjacent if:
a) They have a common vertex.
b) They have a common arm.
c) The non-common arms are on the opposite sides of the common arm.

We can see that all the above criteria are met for only two pairs of angles given in the options. They are:
$\angle AOD\text{and}\angle COD,$
$\angle BOC\text{and}\angle COD$