Mathematics

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 $\angle 5$?

SOLUTION
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 $O$.

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Subjective Medium Published on 09th 09, 2020
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Subjects 10
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