Mathematics

How many pairs of adjacent angles, in all, can you name in figure?

SOLUTION
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
So, $point\ O$ is a common vertex for all angles.
When $OD$ is common side,
$\angle EOD\ and\ \angle AOD,\ \angle EOD\ and\ \angle BOD,\ \angle EOD\ and\ \angle COD$ are pair of adjacent angles.
Similarly, when $OC$ is common side,
$\angle EOC\ and\ \angle AOC,\ \angle EOC\ and\ \angle BOC,\ \angle DOC\ and\ \angle AOC,\ \angle DOC\ and\ \angle BOC$ are pair of adjacent angles.
When $OB$ is common side,
$\angle AOB\ and\ \angle EOB,\ \angle AOB\ and\ \angle BOD,\ \angle AOB\ and\ \angle COB$ are pair of adjacent angles.

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Subjective Medium Published on 09th 09, 2020
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