In the adjoining figure, name the following pairs of angles.
(i) Obtuse vertically opposite angles
(ii) Adjacent complementary angles
(iii) Equal supplementary angles
(iv) Unequal supplementary angles
(v) Adjacent angles that do not form a linear
"
Given :
The figure of intersecting lines is given.
To do :
We have to name the given pairs of angles.
Solution :
(i) Obtuse vertically opposite angles are $∠AOD$ and $∠BOC$.
(ii) Adjacent complementary angles are $∠BOA$ and $∠AOE$.
(iii) Equal supplementary angles are $∠AOD + ∠DOC = ∠AOB + ∠BOC, ∠BOA + ∠AOD = ∠BOC + ∠COD$
(iv) Unequal supplementary angles are $∠BOE + ∠EOD = ∠BOC + ∠COD, ∠AOE + ∠EOC = ∠AOB + ∠BOC$.
(v) Adjacent angles that do not form a linear pair are $∠AOE$ and $∠EOD$; $∠EOD$ and $∠DOC$; $∠DOC$ and $COB; ∠COB$ and $∠BOA; ∠BOE$ and $∠EOD$.
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