Question

Fill in the blanks :

In the figure :

Equal supplement angles are ……………….. and ………………

Answer 1

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

Supplement angles : Angles which from a pair of supplementary angles.

Now, as per the question :

$\angle BOA=\angle DOA=90°$ ($\because$ both angles are of measure $90°$)

The sum of $\angle BOA$ and $\angle DOA$ is $180°$.( i.e. $\angle BOA+\angle DOA=90°+90°=180°=\angle BOD$) ($\because$ angles on a straight line add up to $180°$).

So, $\angle BOA$ and $\angle DOA$ are supplementary angles.

Hence equal supplement angles are $\angle BOA$ and $\angle DOA$.