Question
Can two obtuse angles be complement to each other?
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Answer
No, two obtuse angles can never be complement to each other because their sum cannot be $90^{\circ}$, as an obtuse angle has its measure greater than $90^{\circ}$.
e.g. $105^{\circ}$ and $135^{\circ}$ are two obtuse angles.
Their sum $=105^{\circ}+135^{\circ}=240^{\circ} \neq 90^{\circ}$
Therefore, two obtuse angles cannot be complement to each other.
e.g. $105^{\circ}$ and $135^{\circ}$ are two obtuse angles.
Their sum $=105^{\circ}+135^{\circ}=240^{\circ} \neq 90^{\circ}$
Therefore, two obtuse angles cannot be complement to each other.
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