Mathematics

In figure, A, B, C are collinear points and $\angle DBA=\angle EBA$. Name two pairs of supplementary angles.

SOLUTION

Supplementary angles are two angles whose sum is $180^{0}$.
According to question, $\angle DBA=\angle EBA$
And $line\ AC$ is a straight line.
So, $\angle DBA+\angle DBC=180^0$        .
So, they satisfy condition for supplementary angles.
Similarly,$\angle EBA+\angle EBC=180^0$        .
So, they also satisfy condition for supplementary angles.
$\therefore \angle DBA$ and $\angle DBC$ as well as $\angle EBA$ and $\angle EBC$ are supplementary angles.

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Subjective Medium Published on 09th 09, 2020
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