# 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"

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To do:

We have to name

(i) Obtuse vertically opposite angles

(iii) Equal supplementary angles

(iv) Unequal supplementary angles

(v) Adjacent angles that do not form a linear pair

Solution:

(i) Angles greater than $90^o$ and form a pair of vertically opposite angles are called Obtuse vertically opposite angles.

Therefore,

$\angle BOC$ and $\angle AOD$ are obtuse vertically opposite angles.

(ii) Angles that have a common vertex, one common arm and non-common arms on either sides of the common arm and whose sum equal $90^o$ are called Adjacent complementary angles.

Therefore,

$\angle AOB$ and $\angle AOE$ are adjacent complementary angles.

(iii) Supplementary angles which are equal are called Equal supplementary angles.

Therefore,

$\angle EOB$ and $\angle EOD$ are equal supplementary angles.

(iv) Supplementary angles which are unequal are called Unequal supplementary angles.

Therefore,

$\angle EOA$ and $\angle EOC$ are unequal supplementary angles.

(v) $\angle AOB$ and $\angle AOE$, $\angle AOE$ and $\angle EOD$, $\angle EOD$ and $\angle COD$ are adjacent angles that do not form a linear pair.

Updated on 10-Oct-2022 13:33:50