Question

Fill in the blanks :

In the figure :

Supplement of $\angle AOD$ is ________

Answer 1

As we know that, two angles are said to be supplementary angles if they add up to $180°$.

Now, as per the question :

The sum of $\angle AOD$ and $\angle BOD$ is $180°$ i.e. $\angle AOD+\angle BOD=\angle AOB=180°$ [$\because$ Angles on a straight line add up to $180°$ ]

So, $\angle AOD$ and $\angle BOD$ are the supplementary angles.

Hence the supplement of $\angle AOD$ is $\angle BOD$.