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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