In the figure given below:

(i) Is ∠1 adjacent to ∠2?

(ii) Is ∠AOC adjacent to ∠AOE?

(iii) Do ∠COE and ∠EOD form a linear pair?

(iv) Are ∠BOD and ∠DOA supplementary?

(v) Is ∠1 vertically opposite to ∠2?

(vi) What is the vertically opposite angle of ∠5?

(i) Yes, ∠1 is adjacent to ∠2 as:

Both the angles have common vertex O

Also,

Both the angles have a common arm OC

Also,

The non – common arms of both the angles i.e., OA and OC are on either side of the common arm

(ii) No, ∠AOC is not adjacent to ∠AOE as:

Both the angles have common vertex O

Also,

Both the angles have a common arm OA

But,

The non – common arms of both the angles i.e. OC and OE are on the same side of the common arm

(iii) Yes, ∠COE and ∠EOD form a linear pair because:

Both the angles have common vertex O

Also,

Both the angles have a common arm OE

Also,

The non – common arms of both the angles i.e., OC and OD are opposite rays

(iv) Yes, ∠BOD and ∠DOA are supplementary because:

Both the angles have common vertex O

Also,

The non – common arms of both the angles are opposite to each other

(v) Yes, ∠1 and ∠2 are vertically opposite to each other because:

These angles are formed due to the intersection o two straight lines i.e., AB and CD

(vi) ∠COB is the vertically opposite angle of ∠5 because these are formed due to the intersection of two straight lines i.e., AB and CD