Can two angles be supplementary, if both of them are obtuse? - Vidyadip

Question

Can two angles be supplementary, if both of them are obtuse?

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Answer

Two obtuse angles can’t be supplementary because:
Obtuse angle is always greater than $90^{\circ}$ and addition of any two angles greater than $90^{\circ}$ can never be equal to $180^{\circ}$
Hence, Two obtuse angles cannot be in a supplementary angle pair.

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