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


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