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Byju's Answer

Standard VI

Mathematics

Terms Related to Polygons

Using the fol...

Question

Using the following figure, check whether the given pairs are adjacent or not.

(i) ∠EOC and ∠DOC
(ii) ∠DOC and ∠COB
(iii) ∠EOD and ∠AOB
(iv) ∠BOA and ∠BOE

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Solution

(i) ∠EOC and ∠DOC share common arm OC and common vertex O. But from the figure, it is very clear that the angles are overlapping. Hence they do not form a pair of adjacent angles.

(ii) ∠D𝑶𝑪 and ∠𝑪OB are adjacent angles as they share common arm OC and common vertex O. Moreover these angles are not overlapping.

(iii) ∠𝑬𝑶𝑫 and ∠A𝑶𝑩 are not adjacent angles even though they share a common vertex O. From the figure we can conclude that they don’t share a common arm. Hence they are not adjacent.

(iv) ∠𝑩𝑶𝑨 and ∠𝑩𝑶𝑬 are adjacent angles as they share common arm OB and common vertex O. Hence they form a pair of adjacent angles.

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Using the following figure, check whether the given pairs are adjacent or not. (i) ∠EOC and ∠DOC (ii) ∠DOC and ∠COB (iii) ∠EOD and ∠AOB (iv) ∠BOA and ∠BOE

Using the following figure, check whether the given pairs are adjacent or not.

(i) ∠EOC and ∠DOC
(ii) ∠DOC and ∠COB
(iii) ∠EOD and ∠AOB
(iv) ∠BOA and ∠BOE