Mathematics

Can two obtuse angles be supplementary?


SOLUTION
Two Angles are Supplementary when they add up to $$180^\circ$$.

Let us consider the least obtuse angle, i.e., $$>90^\circ$$ Say $$91^\circ$$ and add it to itself.

$$91^\circ+91^\circ=182^\circ$$

This is $$>180^\circ$$. Hence, two obtuse angles can never be supplementary.
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