Is it necessary that supplementary angles should be adjacent to each other? Answer in Yes/No.

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Solution

Supplementary angles are the angles when their measures are added together it leads to $180^{o} .$

When supplementary angles are adjacent, it leads to a straight line.

In below figure, both angles are non-adjacent to each other but they are supplementry angles because their sum is $180^{o}$
However, supplementary angles don't need to be adjacent to each other.

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Suppose two adjacent angles are supplementary. Show that if one of them is an obtuse angle, then the other angle must be acute.

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