In the adjoining figure, name the following pairs of angles:(i) Obtuse

1.	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 pair.
Answer» 4. (i)Obtuse vertically opposite angles means greater than 90 and equal ∠AOD = ∠BOC. (ii) Adjacent complementary angles means angles have common vertex, common arm, non-common arms are on either side of common arm and sum of angles is 90° . (iii) Equal supplementary angles means sum of angles is 180° and supplement angles are equal. (iv) Unequal supplementary angles means sum of angles is 180° and supplement angles are unequal. i.e., ∠AOE, ∠EOC; ∠AOD, ∠DOC and ∠AOB, ∠BOC (v) Adjacent angles that do not form a linear pair mean, angles have common ray but the angles in a linear pair are not supplementary. i.e., ∠AOB, ∠AOE; ∠AOE, ∠EOD and ∠EOD, ∠COD

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 pair.

Answer»

4. (i)Obtuse vertically opposite angles means greater than 90 and equal ∠AOD = ∠BOC.

(ii) Adjacent complementary angles means angles have common vertex, common arm, non-common arms are on either side of common arm and sum of angles is 90° .

(iii) Equal supplementary angles means sum of angles is 180° and supplement angles are equal.

(iv) Unequal supplementary angles means sum of angles is 180° and supplement angles are unequal. i.e., ∠AOE, ∠EOC; ∠AOD, ∠DOC and ∠AOB, ∠BOC

(v) Adjacent angles that do not form a linear pair mean, angles have common ray but the angles in a linear pair are not supplementary. i.e., ∠AOB, ∠AOE; ∠AOE, ∠EOD and ∠EOD, ∠COD

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