Q

# In the adjoining figure : Is angle 1 adjacent to angle 2 ?

(i) Is $\angle 1$ adjacent to $\angle 2$ ?
(ii) Is $\angle AOC$ adjacent to $\angle AOE$ ?

(iii) Do $\angle COE$ and $\angle EOD$ form a linear pair?
(iv) Are $\angle BOD$ and $\angle DOA$ supplementary?
(v) Is $\angle 1$ vertically opposite to $\angle 4$ ?
(vi) What is the vertically opposite angle of $\angle 5$ ?

Views

(i) Yes, $\angle 1$ adjacent to $\angle 2$ as these have the same vertex and have one common arm.

(ii)  No,  $\angle AOC$ is not adjacent to $\angle AOE$. This is because $\angle AOE$ contains $\angle AOC$.

(iii) Yes the given angles form a linear pair as they are pair of supplementary angles.

(iv) Since BOA is a straight line thus the given angles are supplementary.

(v) Yes, $\angle 1$ and $\angle 4$ are vertically opposite angles as they are the angles formed by two intersecting straight lines.

(vi) The vertically opposite angle to $\angle 5$ is    $\left ( \angle 2\ +\ \angle 3 \right )$.

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