Question

In the figure (IMAGE)

(a) Is $\angle 1$

adjacent to $\angle 2$?

(b) Is $\angle AOC$
adjacent to $\angle AOE$?

(c) Do $\angle COE$ and $\angle EOD$ from linear pair?

(d) Are $\angle BOD$ and $\angle DOA$
supplementary?

(e) is $\angle 1$ vertically opposite to $\angle 4$?

(f) What is the vertically opposite angle of $\angle 5$?

Answer 1

In the figure given,

(a) Yes. $\angle 1$ is adjacent to $\angle 2$ because arm $AO$ is adjacent to arm $OC$.

(b) No. >$\angle AOC$ is not adjacent to $\angle AOE$ because $\angle AOC$ is inside $\angle AOE$.

(c) Yes. $\angle COE$ and $\angle EOD$ form a linear pair because we can see that $CD$ is a straight line.

(d) Yes. $\angle BOD$ and $\angle DOA$ are supplementary angles because angle between them is ${180}^{\circ }$.

(e) Yes. $\angle 1$ is vertically opposite to $\angle 4$ because $AB$ and $CD$ are straight lines.

(f) $\angle 2+\angle 3$ are vertically opposite to $\angle 5$ because $AB$ and $DC$ are straight lines which intersect at $O$.